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1 files changed, 1010 insertions, 1003 deletions
diff --git a/configuration/bibliographie-livre.bib b/configuration/bibliographie-livre.bib
index 6125a21..8df5b0e 100644
--- a/configuration/bibliographie-livre.bib
+++ b/configuration/bibliographie-livre.bib
@@ -1,1006 +1,1013 @@
-@Book{Elements@Bourbaki,
-AUTHOR = {Bourbaki, Nicolas},
- TITLE = {\'{E}l\'ements de math\'ematique},
- PUBLISHER = {Springer},
- NOTE = {réimpression des dernières éditions Masson},
- YEAR = {2007},
-}
-
-@Book{TG@Bourbaki,
- AUTHOR = {Bourbaki, Nicolas},
- TITLE = {\'{E}l\'ements de math\'ematique. Topologie générale},
-}
-
-@book{AC10@Bourbaki,
- AUTHOR = {Bourbaki, Nicolas},
- TITLE = {{É}léments de mathématique. {A}lgèbre commutative, chapitre 10},
- NOTE = {réimpression de l'original de 1998},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {Berlin},
- YEAR = {2007},
- PAGES = {ii+187},
- ISBN = {978-3-540-34394-3; 3-540-34394-6},
-}
-
-@book{A10@Bourbaki,
- AUTHOR = {Bourbaki, Nicolas},
- TITLE = {\'{E}l\'ements de math\'ematique. {A}lg\`ebre, chapitre 10.
- {A}lg\`ebre homologique},
- NOTE = {réimpression de l'original de 1980},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {Berlin},
- YEAR = {2007},
- PAGES = {viii+216},
- ISBN = {978-3-540-34492-6; 3-540-34492-6},
-}
-
-@book{A9@Bourbaki,
- AUTHOR = {Bourbaki, Nicolas},
- TITLE = {\'{E}l\'ements de math\'ematique. {A}lg\`ebre, chapitre 9},
- NOTE = {réimpression de l'original de 1959},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {Berlin},
- YEAR = {2007},
- PAGES = {211},
- ISBN = {978-3-540-35338-6; 3-540-35338-0},
-}
-
-@book{AC8-9@Bourbaki,
- AUTHOR = {Bourbaki, Nicolas},
- TITLE = {\'{E}l\'ements de math\'ematique. {A}lg\`ebre commutative, chapitres 8 et 9},
- NOTE = {réimpression de l'original de 1983},
- PUBLISHER = {Springer},
- ADDRESS = {Berlin},
- YEAR = {2006},
- PAGES = {ii+200},
- ISBN = {978-3-540-33942-7; 3-540-33942-6},
-}
-
-@Book{A4-7@Bourbaki,
- AUTHOR = {Bourbaki, Nicolas},
- TITLE = {\'{E}l\'ements de math\'ematique, Alg\`ebre, chapitres 4 à 7},
- PUBLISHER = {Masson},
- ADDRESS = {Paris},
- YEAR = {1981},
- PAGES = {vii+422},
-}
-
-@book{AC5-7@Bourbaki,
- AUTHOR = {Bourbaki, Nicolas},
- TITLE = {\'{E}l\'ements de math\'ematique},
- NOTE = {Alg\`ebre commutative, chapitres 5 à 7},
- PUBLISHER = {Masson},
- ADDRESS = {Paris},
- YEAR = {1985},
- PAGES = {351},
-}
-@book{AC8-9@Bourbaki,
- AUTHOR = {Bourbaki, Nicolas},
- TITLE = {\'{E}l\'ements de math\'ematique},
- NOTE = {Alg\`ebre commutative, chapitres 8 et 9},
- PUBLISHER = {Masson},
- ADDRESS = {Paris},
- YEAR = {1983},
- PAGES = {200},
-}
-
-@book{First@Lam,
- AUTHOR = {Lam, T. Y.},
- TITLE = {A first course in noncommutative rings},
- SERIES = {Graduate Texts in Mathematics},
- VOLUME = {131},
- NOTE = {seconde édition},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {New York},
- YEAR = {2001},
- PAGES = {xx+385},
- ISBN = {0-387-95183-0},
-}
-
-@article{determinants@Cayley,
-AUTHOR = {Cayley, Arthur},
-TITLE = {Sur quelques propriétés des déterminants gauches},
-YEAR = {1846},
-JOURNAL = {J. reine angew. Math.},
-VOLUME = {32},}
+% This file was created with JabRef 2.5.
+% Encoding: UTF8
+
+@ARTICLE{RamificationII@Abbes-Saito,
+ author = {Abbes, Ahmed and Sait\^o, Takeshi},
+ title = {Ramification of local fields with imperfect residue fields. {II}},
+ journal = {Doc. Math.},
+ year = {2003},
+ pages = {5--72},
+ number = {Extra Vol.},
+ fjournal = {Documenta Mathematica}
+}
+
+@ARTICLE{RamificationI@Abbes-Saito,
+ author = {Abbes, Ahmed and Sait\^o, Takeshi},
+ title = {Ramification of local fields with imperfect residue fields},
+ journal = {Amer. J. Math.},
+ year = {2002},
+ volume = {124},
+ pages = {879--920},
+ number = {5},
+ fjournal = {American Journal of Mathematics}
+}
+
+@ARTICLE{Cyclic@Albert,
+ author = {Albert, A. A.},
+ title = {Cyclic fields of degree {$p^n$} over {$F$} of characteristic {$p$}},
+ journal = {Bull. Amer. Math. Soc.},
+ year = {1934},
+ volume = {40},
+ pages = {625--631},
+ number = {8},
+ doi = {10.1090/S0002-9904-1934-05930-5},
+ fjournal = {Bulletin of the American Mathematical Society},
+ issn = {0002-9904},
+ url = {http://dx.doi.org/10.1090/S0002-9904-1934-05930-5}
+}
+
+@ARTICLE{central@Amitsur,
+ author = {Amitsur, S. A.},
+ title = {On central division algebras},
+ journal = {Israel J. Math.},
+ year = {1972},
+ volume = {12},
+ pages = {408--420},
+ fjournal = {Israel Journal of Mathematics},
+ issn = {0021-2172}
+}
+
+@ARTICLE{Kennzeichnung@AS,
+ author = {Artin, Emil and Schreier, Otto},
+ title = {{Eine Kennzeichnung der reell abgeschlossenen Körper.}},
+ journal = {Abhandlungen Hamburg },
+ year = {1927},
+ volume = {5},
+ pages = {225-231},
+ doi = {10.1007/BF02952522}
+}
+
+@ARTICLE{Bernstein-Zelevinski,
+ author = {Bernšteĭn, I. N. and Zelevinskiĭ, A. V.},
+ title = {Representations of the group {$GL(n,F)$}, where {$F$} is a local
+ non-{A}rchimedean field},
+ journal = {Uspehi Mat. Nauk},
+ year = {1976},
+ volume = {31},
+ pages = {5--70},
+ number = {3(189)},
+ fjournal = {Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo. Uspekhi
+ Matematicheskikh Nauk},
+ issn = {0042-1316}
+}
+
+@INCOLLECTION{Counting@Bombieri,
+ author = {Bombieri, Enrico},
+ title = {Counting points on curves over finite fields (d'après {S}. {A}. {S}tepanov)},
+ booktitle = {Séminaire {B}ourbaki, 25ème année (1972/1973), {E}xp. {N}o. 430},
+ publisher = {Springer},
+ year = {1974},
+ pages = {234--241. Lecture Notes in Math., Vol. 383},
+ address = {Berlin},
+ url = {http://www.numdam.org/item?id=SB_1972-1973__15__234_0}
+}
+
+@BOOK{Borceux-Janelidze,
+ title = {Galois theories},
+ publisher = {Cambridge University Press},
+ year = {2001},
+ author = {Borceux, Francis and Janelidze, George},
+ volume = {72},
+ pages = {xiv+341},
+ series = {Cambridge Studies in Advanced Mathematics},
+ address = {Cambridge},
+ doi = {10.1017/CBO9780511619939},
+ isbn = {0-521-80309-8}
+}
+
+@BOOK{TG@Bourbaki,
+ title = {\'{E}l\'ements de math\'ematique. Topologie générale},
+ author = {Bourbaki, Nicolas}
+}
+
+@BOOK{A10@Bourbaki,
+ title = {\'{E}l\'ements de math\'ematique. {A}lg\`ebre, chapitre 10. {A}lg\`ebre
+ homologique},
+ publisher = {Springer-Verlag},
+ year = {2007},
+ author = {Bourbaki, Nicolas},
+ pages = {viii+216},
+ address = {Berlin},
+ note = {réimpression de l'original de 1980},
+ isbn = {978-3-540-34492-6; 3-540-34492-6}
+}
+
+@BOOK{A9@Bourbaki,
+ title = {\'{E}l\'ements de math\'ematique. {A}lg\`ebre, chapitre 9},
+ publisher = {Springer-Verlag},
+ year = {2007},
+ author = {Bourbaki, Nicolas},
+ pages = {211},
+ address = {Berlin},
+ note = {réimpression de l'original de 1959},
+ isbn = {978-3-540-35338-6; 3-540-35338-0}
+}
+
+@BOOK{AC10@Bourbaki,
+ title = {{É}léments de mathématique. {A}lgèbre commutative, chapitre 10},
+ publisher = {Springer-Verlag},
+ year = {2007},
+ author = {Bourbaki, Nicolas},
+ pages = {ii+187},
+ address = {Berlin},
+ note = {réimpression de l'original de 1998},
+ isbn = {978-3-540-34394-3; 3-540-34394-6}
+}
+
+@BOOK{Elements@Bourbaki,
+ title = {\'{E}l\'ements de math\'ematique},
+ publisher = {Springer},
+ year = {2007},
+ author = {Bourbaki, Nicolas},
+ note = {réimpression des dernières éditions Masson}
+}
+
+@BOOK{AC8-9@Bourbaki,
+ title = {\'{E}l\'ements de math\'ematique. {A}lg\`ebre commutative, chapitres
+ 8 et 9},
+ publisher = {Springer},
+ year = {2006},
+ author = {Bourbaki, Nicolas},
+ pages = {ii+200},
+ address = {Berlin},
+ note = {réimpression de l'original de 1983},
+ isbn = {978-3-540-33942-7; 3-540-33942-6}
+}
+
+@BOOK{AC5-7@Bourbaki,
+ title = {\'{E}l\'ements de math\'ematique},
+ publisher = {Masson},
+ year = {1985},
+ author = {Bourbaki, Nicolas},
+ pages = {351},
+ address = {Paris},
+ note = {Alg\`ebre commutative, chapitres 5 à 7}
+}
+
+@BOOK{AC8-9@Bourbaki,
+ title = {\'{E}l\'ements de math\'ematique},
+ publisher = {Masson},
+ year = {1983},
+ author = {Bourbaki, Nicolas},
+ pages = {200},
+ address = {Paris},
+ note = {Alg\`ebre commutative, chapitres 8 et 9}
+}
+
+@BOOK{A4-7@Bourbaki,
+ title = {\'{E}l\'ements de math\'ematique, Alg\`ebre, chapitres 4 à 7},
+ publisher = {Masson},
+ year = {1981},
+ author = {Bourbaki, Nicolas},
+ pages = {vii+422},
+ address = {Paris}
+}
+
+@BOOK{Bushnell-Henniart,
+ title = {The local {L}anglands conjecture for {$\rm GL(2)$}},
+ publisher = {Springer-Verlag},
+ year = {2006},
+ author = {Bushnell, Colin J. and Henniart, Guy},
+ volume = {335},
+ pages = {xii+347},
+ series = {Grundlehren der Mathematischen Wissenschaften},
+ address = {Berlin},
+ isbn = {978-3-540-31486-8; 3-540-31486-5},
+ url = {http://dx.doi.org/10.1007/3-540-31511-X}
+}
+
+@BOOK{Local@Cassels,
+ title = {Local fields},
+ publisher = {Cambridge University Press},
+ year = {1986},
+ author = {Cassels, J. W. S.},
+ volume = {3},
+ pages = {xiv+360},
+ series = {London Mathematical Society Student Texts},
+ address = {Cambridge},
+ isbn = {978-521-31525-8}
+}
+
+@BOOK{Memoire@Cauchy,
+ title = {Mémoire sur la théorie des nombres},
+ year = {1840},
+ author = {Cauchy, Augustin-Louis},
+ note = {Œuvres I, vol. III ; disponible sur \url{gallica.bnf.fr}}
+}
+
+@ARTICLE{determinants@Cayley,
+ author = {Cayley, Arthur},
+ title = {Sur quelques propriétés des déterminants gauches},
+ journal = {J. reine angew. Math.},
+ year = {1846},
+ volume = {32}
+}
+
+@BOOK{Elements@Colmez,
+ title = {Éléments d'analyse et d'algèbre (et de théorie des nombres)},
+ publisher = {Éditions de l'École polytechnique, Palaiseau},
+ year = {2009},
+ author = {Colmez, Pierre},
+ pages = {xii+469},
+ isbn = {978-2-7302-1563-3}
+}
+
+@BOOK{ATLAS,
+ title = {{ATLAS} of Finite Groups},
+ publisher = {Oxford University Press},
+ year = {1985},
+ author = {Conway, John Horton and Curtis, Robert Turner and Norton, Simon Phillips
+ and Parker, Richard Alan and Wilson, Robert Arnott}
+}
+
+@ARTICLE{Cubic@Coray,
+ author = {Coray, Daniel F.},
+ title = {Cubic hypersurfaces and a result of {H}ermite},
+ journal = {Duke Math. J.},
+ year = {1987},
+ volume = {54},
+ pages = {657--670},
+ number = {2},
+ doi = {10.1215/S0012-7094-87-05428-7},
+ fjournal = {Duke Mathematical Journal},
+ issn = {0012-7094},
+ url = {http://dx.doi.org/10.1215/S0012-7094-87-05428-7}
+}
+
+@BOOK{Galois@Cox,
+ title = {Galois theory},
+ publisher = {Wiley-Interscience [John Wiley \& Sons]},
+ year = {2004},
+ author = {Cox, David A.},
+ pages = {xx+559},
+ series = {Pure and Applied Mathematics (New York)},
+ address = {Hoboken, NJ}
+}
+
+@ARTICLE{Davenport-Hasse,
+ author = {Davenport, Harold and Hasse, Helmut},
+ title = {Die Nullstellen der Kongruenzzetafunktionen in gewissen zyklischen
+ F{\"a}llen},
+ journal = {J. reine angew. Math.},
+ year = {1934},
+ volume = {172},
+ pages = {151-182}
+}
+
+@ARTICLE{Weil2@Deligne,
+ author = {Deligne, Pierre},
+ title = {La conjecture de {W}eil {\sc ii}},
+ journal = {Publications mathématiques de l'{I}{H}{É}{S}},
+ year = {1980},
+ pages = {137--252},
+ number = {52}
+}
+
+@ARTICLE{Weil1@Deligne,
+ author = {Deligne, Pierre},
+ title = {La conjecture de {W}eil. {\sc i}},
+ journal = {Publications mathématiques de l'{I}{H}{\'E}{S}},
+ year = {1974},
+ pages = {273--307},
+ number = {43}
+}
+
+@BOOK{Dixon-Mortimer,
+ title = {Permutation Groups},
+ publisher = {Springer-Verlag},
+ year = {1996},
+ author = {Dixon, John D. and Mortimer, Brian},
+ volume = {163},
+ series = {Graduate Texts in Mathematics},
+ address = {New York}
+}
+
+@BOOK{Douady-Douady,
+ title = {Algèbre et théories galoisiennes},
+ publisher = {Cassini},
+ year = {2005},
+ author = {Douady, Régine and Douady, Adrien},
+ address = {Paris}
+}
+
+@BOOK{Operaomnia-I6@Euler,
+ title = {{Opera omnia. Series I: Opera mathematica. VI: Commentationes algebraicae
+ ad theoriam aequationum pertinentes. Ediderunt F. Rudio, A. Krazer,
+ P. Stäckel.}},
+ publisher = {Teubner},
+ year = {1921},
+ author = {Euler, Leonhard},
+ pages = {xx+509},
+ address = {Leipzig},
+ language = {Latin}
+}
+
+@ARTICLE{Problema@Euler,
+ author = {Euler, Leonhard},
+ title = {Problema algebraicum ob affectiones prorsus singulares memorabile},
+ journal = {Novi Commentarii academiae scientiarum Petropolitanae},
+ year = {1771},
+ volume = {15},
+ pages = {75-106},
+ note = {dans \cite{Operaomnia-I6@Euler}}
+}
+
+@BOOK{Tagebuch@Gauss,
+ title = {Mathematisches {T}agebuch, 1796--1814},
+ publisher = {Verlag Harri Deutsch},
+ year = {1796-1814},
+ author = {Gauß, Carl Friedrich},
+ pages = {235},
+ series = {Ostwalds Klassiker der Exakten Wissenschaften},
+ edition = {cinquième},
+ note = {Bilingue latin-allemand (avec commentaires en allemand). Traduction
+ anglaise par J. Gray dans Expositiones mathematicae (1984)}
+}
+
+@BOOK{Disquisitiones@Gauss,
+ title = {Recherches arithmétiques (\emph{Disquisitiones arithmeticae})},
+ year = {1807},
+ author = {Gauß, Carl Friedrich},
+ note = {Traduit du latin par A.-C.M. Poullet-Delisle. Réédité chez Jacques
+ Gabay, Paris et disponible sur \url{gallica.bnf.fr}}
+}
+
+@BOOK{Gille-Szamuely,
+ title = {Central simple algebras and {G}alois cohomology},
+ publisher = {Cambridge University Press},
+ year = {2006},
+ author = {Gille, Philippe and Szamuely, Tam{\'a}s},
+ volume = {101},
+ pages = {xii+343},
+ series = {Cambridge Studies in Advanced Mathematics},
+ address = {Cambridge},
+ isbn = {978-0-521-86103-8; 0-521-86103-9}
+}
+
+@ARTICLE{EGA,
+ author = {Grothendieck, A.},
+ title = {\'{E}l\'ements de g\'eom\'etrie alg\'ebrique},
+ journal = {Publications mathématiques de l'{I}{H}{\'E}{S}},
+ year = {1960-1967},
+ note = {numéros 4 (I) ; 8 (II) ; 11,17 (III) ; 20, 24 et 28 (IV), rédigés
+ avec la collaboration de J. Dieudonné.}
+}
+
+@INCOLLECTION{Lefschetz@Grothendieck,
+ author = {Grothendieck, Alexandre},
+ title = {Formule de {L}efschetz et rationalit\'e des fonctions {$L$}},
+ booktitle = {S\'eminaire Bourbaki, Vol.\ 9},
+ publisher = {Réédité par la Soc. math. France},
+ year = {1964},
+ pages = {Exp.\ No.\ 279, 41--55},
+ address = {Paris}
+}
+
+@ARTICLE{Tohoku@Grothendieck,
+ author = {Grothendieck, Alexandre},
+ title = {Sur quelques points d'algèbre homologique},
+ journal = {Tôhoku Math. J. (2)},
+ year = {1957},
+ volume = {9},
+ pages = {119--221}
+}
+
+@INCOLLECTION{Zeta@Heilbronn,
+ author = {Heilbronn, H.},
+ title = {Zeta-functions and {$L$}-functions},
+ booktitle = {Algebraic Number Theory (Proc. Instructional Conf., Brighton, 1965)},
+ year = {1967},
+ pages = {204--230}
+}
+
+@ARTICLE{Zahlbericht@Hilbert,
+ author = {Hilbert, David},
+ title = {Die {T}heorie der algebraischen {Z}ahlkörper},
+ journal = {Deutsche Math. Ver.},
+ year = {1897},
+ volume = {4, I-XVIII},
+ pages = {175-546}
+}
+
+@BOOK{analysisI@Hormander,
+ title = {The analysis of linear partial differential operators. {I}},
+ publisher = {Springer-Verlag},
+ year = {2003},
+ author = {Hörmander, Lars},
+ pages = {x+440},
+ series = {Classics in Mathematics},
+ address = {Berlin},
+ note = {Distribution theory and Fourier analysis},
+ isbn = {3-540-00662-1}
+}
+
+@BOOK{introduction@Igusa,
+ title = {An introduction to the theory of local zeta functions},
+ publisher = {American Mathematical Society},
+ year = {2000},
+ author = {Igusa, Jun-ichi},
+ volume = {14},
+ pages = {xii+232},
+ series = {AMS/IP Studies in Advanced Mathematics},
+ address = {Providence, RI},
+ isbn = {0-8218-2015-X}
+}
+
+@BOOK{Ireland-Rosen,
+ title = {A classical introduction to modern number theory},
+ publisher = {Springer-Verlag},
+ year = {1990},
+ author = {Ireland, Kenneth and Rosen, Michael},
+ volume = {84},
+ pages = {xiv+389},
+ series = {Graduate Texts in Mathematics},
+ address = {New York}
+}
+
+@BOOK{Collected@Iwasawa,
+ title = {Collected papers. {V}ol. {I}, {II}},
+ publisher = {Springer-Verlag},
+ year = {2001},
+ author = {Iwasawa, Kenkichi},
+ address = {Tôkyô},
+ isbn = {4-431-70314-4}
+}
+
+@INBOOK{Lettre@Iwasawa,
+ title = {Lettre à {J}. {D}ieudonné},
+ year = {1952},
+ author = {Iwasawa, Kenkichi},
+ note = {[66] dans \cite{Collected@Iwasawa}}
+}
+
+@INPROCEEDINGS{note@Iwasawa,
+ author = {Iwasawa, Kenkichi},
+ title = {A note on functions},
+ booktitle = {Proceedings of the International congress of mathematicians (Cambridge,
+ 1949)},
+ year = {1952},
+ address = {Providence},
+ publisher = {American mathematical society}
+}
+
+@BOOK{Generic@JLY,
+ title = {Generic polynomials},
+ publisher = {Cambridge University Press},
+ year = {2002},
+ author = {Jensen, Christian U. and Ledet, Arne and Yui, Noriko},
+ volume = {45},
+ pages = {x+258},
+ series = {Mathematical Sciences Research Institute Publications},
+ address = {Cambridge},
+ note = {Constructive aspects of the inverse Galois problem},
+ isbn = {0-521-81998-9}
+}
+
+@BOOK{Bertini@Jouanolou,
+ title = {Th\'eor\`emes de {B}ertini et applications},
+ publisher = {Birkh\"auser},
+ year = {1983},
+ author = {Jouanolou, Jean-Pierre},
+ volume = {42},
+ pages = {ii+127},
+ series = {Progress in Mathematics},
+ address = {Boston}
+}
+
+@BOOK{suuron1@kato-kurokawa-saito,
+ title = {Théorie des nombres I},
+ publisher = {Iwanami shoten},
+ year = {2005},
+ author = {Katô, Kazuya and Kurokawa, Noboushigué and Saïtô, Takéshi},
+ address = {Tôkyô},
+ note = {En japonais}
+}
+
+@ARTICLE{Lineare@Kneser,
+ author = {Kneser, Martin},
+ title = {Lineare {A}bhängigkeit von {W}urzeln},
+ journal = {Acta Arith.},
+ year = {1975},
+ volume = {26},
+ pages = {307--308},
+ number = {3},
+ fjournal = {Polska Akademia Nauk. Instytut Matematyczny. Acta Arithmetica},
+ issn = {0065-1036},
+ url = {http://matwbn.icm.edu.pl/ksiazki/aa/aa26/aa26313.pdf}
+}
+
+@BOOK{Involutions@KMRT,
+ title = {The book of involutions},
+ publisher = {American Mathematical Society},
+ year = {1998},
+ author = {Knus, Max-Albert and Merkurjev, Alexander and Rost, Markus and Tignol,
+ Jean-Pierre},
+ volume = {44},
+ pages = {xxii+593},
+ series = {American Mathematical Society Colloquium Publications},
+ address = {Providence, RI},
+ isbn = {0-8218-0904-0}
+}
+
+@BOOK{Knus-Ojanguren,
+ title = {Théorie de la descente et algèbres d'{A}zumaya},
+ publisher = {Springer-Verlag},
+ year = {1974},
+ author = {Knus, Max-Albert and Ojanguren, Manuel},
+ pages = {iv+163},
+ series = {Lecture Notes in Mathematics, vol. 389},
+ address = {Berlin}
+}
+
+@BOOK{p-adic@Koblitz,
+ title = {{$p$}-adic numbers, {$p$}-adic analysis, and zeta-functions},
+ publisher = {Springer-Verlag},
+ year = {1984},
+ author = {Koblitz, Neal},
+ volume = {58},
+ pages = {xii+150},
+ series = {Graduate Texts in Mathematics},
+ address = {New York}
+}
+
+@ARTICLE{Number@Koblitz,
+ author = {Koblitz, Neal},
+ title = {The number of points on certain families of hypersurfaces over finite
+ fields},
+ journal = {Compositio Math.},
+ year = {1983},
+ volume = {48},
+ pages = {3--23},
+ number = {1},
+ fjournal = {Compositio Mathematica}
+}
+
+@ARTICLE{unendlichen@Krull,
+ author = {Krull, Wolfgang},
+ title = {Galoissche {T}heorie der unendlichen algebraischen {E}rweiterungen},
+ journal = {Math. Ann.},
+ year = {1928},
+ volume = {100},
+ pages = {687--698},
+ number = {1},
+ fjournal = {Mathematische Annalen},
+ issn = {0025-5831}
+}
+
+@ARTICLE{Reflexions@Lagrange,
+ author = {Lagrange, Joseph-Louis},
+ title = {Réflexions sur la résolution algébrique des équations},
+ journal = {Nouveaux mémoires de l'Acad. des sc. et b.-l. de Berlin},
+ year = {1770-1771}
+}
+
+@BOOK{First@Lam,
+ title = {A first course in noncommutative rings},
+ publisher = {Springer-Verlag},
+ year = {2001},
+ author = {Lam, T. Y.},
+ volume = {131},
+ pages = {xx+385},
+ series = {Graduate Texts in Mathematics},
+ address = {New York},
+ note = {seconde édition},
+ isbn = {0-387-95183-0}
+}
+
+@BOOK{Algebre@Lang,
+ title = {Alg\`ebre. Cours et exercices},
+ publisher = {Dunod},
+ year = {2004},
+ author = {Lang, Serge},
+ pages = {944},
+ address = {Paris}
+}
+
+@BOOK{Lecons@Lebesgue,
+ title = {Leçons sur les constructions géométriques},
+ publisher = {Gauthier-Villars},
+ year = {1950},
+ author = {Lebesgue, Henri},
+ pages = {vi+304},
+ address = {Paris}
+}
+
+@BOOK{Categories@MacLane,
+ title = {Categories for the working mathematician},
+ publisher = {Springer-Verlag},
+ year = {1998},
+ author = {Mac Lane, Saunders},
+ volume = {5},
+ pages = {xii+314},
+ series = {Graduate Texts in Mathematics},
+ address = {New York},
+ edition = {seconde}
+}
+
+@BOOK{CRT@Matsumura,
+ title = {Commutative ring theory},
+ publisher = {Cambridge University Press},
+ year = {1989},
+ author = {Matsumura, Hideyuki},
+ volume = {8},
+ pages = {xiv+320},
+ series = {Cambridge Studies in Advanced Mathematics}
+}
+
+@BOOK{Etale@Milne,
+ title = {\'{E}tale cohomology},
+ publisher = {Princeton University Press},
+ year = {1980},
+ author = {Milne, James S.},
+ pages = {xiii+323},
+ address = {Princeton, N.J.}
+}
+
+@BOOK{RB@Mumford,
+ title = {The red book of varieties and schemes},
+ publisher = {Springer-Verlag},
+ year = {1988},
+ author = {Mumford, David},
+ volume = {1358},
+ pages = {vi+309},
+ series = {Lecture Notes in Mathematics},
+ address = {Berlin}
+}
+
+@BOOK{Integral@Nachbin,
+ title = {Integral de Haar},
+ publisher = {Instituto de Física e Matemática, Universidade do Recife},
+ year = {1960},
+ author = {Nachbin, Leopoldo},
+ pages = {238 p.},
+ series = {Textos de matemática, no. 7.},
+ timestamp = {2011.05.19}
+}
+
+@INCOLLECTION{Isomorphism@Poonen,
+ author = {Poonen, Bjorn},
+ title = {Isomorphism types of commutative algebras of finite rank over an
+ algebraically closed field},
+ booktitle = {Computational arithmetic geometry},
+ publisher = {Amer. Math. Soc.},
+ year = {2008},
+ volume = {463},
+ series = {Contemp. Math.},
+ pages = {111--120},
+ address = {Providence, RI}
+}
+
+@BOOK{Polya-Szego,
+ title = {Problems and theorems in analysis, {I} et {II}},
+ publisher = {Springer-Verlag},
+ year = {1998},
+ author = {Pólya, George and Szegő, Gabor},
+ pages = {xii+392},
+ series = {Classics in Mathematics},
+ address = {Berlin},
+ note = {traduction de l'édition allemande de 1971}
+}
+
+@BOOK{Anneaux@Raynaud,
+ title = {Anneaux locaux hens\'eliens},
+ publisher = {Springer-Verlag},
+ year = {1970},
+ author = {Raynaud, Michel},
+ pages = {v+129},
+ series = {Lecture Notes in Mathematics, Vol. 169}
+}
+
+@BOOK{BHN@Roquette,
+ title = {The {B}rauer-{H}asse-{N}oether theorem in historical perspective},
+ publisher = {Springer-Verlag},
+ year = {2005},
+ author = {Roquette, Peter},
+ volume = {15},
+ pages = {vi+92},
+ series = {Schriften der Mathematisch-Naturwissenschaftlichen Klasse der Heidelberger
+ Akademie der Wissenschaften},
+ address = {Berlin},
+ isbn = {3-540-23005-X}
+}
+
+@BOOK{Rotman,
+ title = {An Introduction to the Theory of Groups},
+ publisher = {Springer-Verlag},
+ year = {1995},
+ author = {Rotman, Joseph J.},
+ volume = {148},
+ series = {Graduate Texts in Mathematics},
+ address = {New York},
+ edition = {quatrième}
+}
+
+@BOOK{Theorie@Samuel,
+ title = {Théorie algébrique des nombres},
+ publisher = {Hermann},
+ year = {1967},
+ author = {Samuel, Pierre},
+ pages = {130},
+ address = {Paris}
+}
@BOOK{seisuuron@Saito,
-AUTHOR = {Sa{\"i}t{\^o}, Sh{\^u}ji},
-TITLE = {\jap{整数論}},
-YEAR = {1997},
-ADDRESS = {Tôkyô},
-PUBLISHER = {\jap{共立出版}},}
-
-@article{Problema@Euler,
-AUTHOR = {Euler, Leonhard},
-TITLE = {Problema algebraicum ob affectiones prorsus
-singulares memorabile},
-JOURNAL = {Novi Commentarii academiae scientiarum
-Petropolitanae},
-NOTE = {dans \cite{Operaomnia-I6@Euler}},
-YEAR = {1771},
-PAGES = {75-106},
-VOLUME = {15},}
-
-@book{Operaomnia-I6@Euler,
-author="Euler, Leonhard",
-title="{Opera omnia. Series I: Opera mathematica. VI:
-Commentationes algebraicae ad theoriam aequationum pertinentes. Ediderunt F. Rudio,
-A. Krazer, P. Stäckel.}",
-language="Latin",
-publisher={Teubner},
-address = {Leipzig},
-pages = {xx+509},
-year="1921",
-}
-
-@book{BNT@Weil,
- AUTHOR = {Weil, André},
- TITLE = {Basic number theory},
- EDITION = {troisième},
- NOTE = {Die Grundlehren der Mathematischen Wissenschaften, Band 144},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {New York},
- YEAR = {1974},
- PAGES = {xviii+325},
-}
-
-@incollection{Fonction@Weil,
- AUTHOR = {Weil, André},
- TITLE = {Fonction zêta et distributions},
- BOOKTITLE = {Séminaire {B}ourbaki},
- PAGES = {Exp.\ No.\ 312},
- YEAR = {1966},
-}
-
-@article{Zahlbericht@Hilbert,
-author={Hilbert, David},
-title={Die {T}heorie der algebraischen {Z}ahlkörper},
-journal={Deutsche Math. Ver.},
-volume={4, I-XVIII},
-pages={175-546},
-year={1897},}
-
-
-
-@article {ZSG@Speiser,
- AUTHOR = {Speiser, A.},
- TITLE = {Zahlentheoretische {S}ätze aus der {G}ruppentheorie},
- JOURNAL = {Math. Zeit.},
- FJOURNAL = {Mathematische Zeitschrift},
- VOLUME = {5},
- YEAR = {1919},
- NUMBER = {1-2},
- PAGES = {1--6},
- ISSN = {0025-5874},
- DOI = {10.1007/BF01203150},
- URL = {http://dx.doi.org/10.1007/BF01203150},
-}
-
-@article{Konstruktion@Witt,
-author="Witt, Ernst",
-title="{Konstruktion von galoisschen Körpern der
-Charakteristik $p$ zu vorgegebener Gruppe der Ordnung $p^f$.}",
-journal="J. reine angew. Math.",
-note={№20 in \cite{Oeuvres@Witt}},
-volume="174",
-pages="237-245",
-year="1936",
-}
-
-@book{Generic@JLY,
- AUTHOR = {Jensen, Christian U. and Ledet, Arne and Yui, Noriko},
- TITLE = {Generic polynomials},
- SERIES = {Mathematical Sciences Research Institute Publications},
- VOLUME = {45},
- NOTE = {Constructive aspects of the inverse Galois problem},
- PUBLISHER = {Cambridge University Press},
- ADDRESS = {Cambridge},
- YEAR = {2002},
- PAGES = {x+258},
- ISBN = {0-521-81998-9},
-}
-
-@book{Oeuvres@Witt,
- AUTHOR = {Witt, Ernst},
- TITLE = {{G}esammelte {A}bhandlungen ({Œ}uvres)},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {Berlin},
- YEAR = {1998},
- PAGES = {xvi+420},
- ISBN = {3-540-57061-6},
-}
-
-@article{unendlichen@Krull,
- AUTHOR = {Krull, Wolfgang},
- TITLE = {Galoissche {T}heorie der unendlichen
-algebraischen {E}rweiterungen},
- JOURNAL = {Math. Ann.},
- FJOURNAL = {Mathematische Annalen},
- VOLUME = {100},
- YEAR = {1928},
- NUMBER = {1},
- PAGES = {687--698},
- ISSN = {0025-5831},
-}
-
-@book{Involutions@KMRT,
- AUTHOR = {Knus, Max-Albert and Merkurjev, Alexander and Rost, Markus and
- Tignol, Jean-Pierre},
- TITLE = {The book of involutions},
- SERIES = {American Mathematical Society Colloquium Publications},
- VOLUME = {44},
- PUBLISHER = {American Mathematical Society},
- ADDRESS = {Providence, RI},
- YEAR = {1998},
- PAGES = {xxii+593},
- ISBN = {0-8218-0904-0},
-}
-
-@article{Pisot@Siegel,
- AUTHOR = {Siegel, Carl Ludwig},
- TITLE = {Algebraic integers whose conjugates lie in the
-unit circle},
- JOURNAL = {Duke Math. J.},
- FJOURNAL = {Duke Mathematical Journal},
- VOLUME = {11},
- YEAR = {1944},
- PAGES = {597--602},
- ISSN = {0012-7094},
-}
-
-@incollection{Isomorphism@Poonen,
- AUTHOR = {Poonen, Bjorn},
- TITLE = {Isomorphism types of commutative algebras of
-finite rank over an algebraically closed field},
- BOOKTITLE = {Computational arithmetic geometry},
- SERIES = {Contemp. Math.},
- VOLUME = {463},
- PAGES = {111--120},
- PUBLISHER = {Amer. Math. Soc.},
- ADDRESS = {Providence, RI},
- YEAR = {2008},
-}
-
-@book{Gille-Szamuely,
- AUTHOR = {Gille, Philippe and Szamuely, Tam{\'a}s},
- TITLE = {Central simple algebras and {G}alois cohomology},
- SERIES = {Cambridge Studies in Advanced Mathematics},
- VOLUME = {101},
- PUBLISHER = {Cambridge University Press},
- ADDRESS = {Cambridge},
- YEAR = {2006},
- PAGES = {xii+343},
- ISBN = {978-0-521-86103-8; 0-521-86103-9},
-}
-
-@book{Topics@Serre,
- AUTHOR = {Serre, Jean-Pierre},
- TITLE = {Topics in {G}alois theory},
- SERIES = {Research Notes in Mathematics},
- VOLUME = {1},
- PUBLISHER = {Jones and Bartlett Publishers},
- ADDRESS = {Boston, MA},
- YEAR = {1992},
- PAGES = {xvi+117},
- ISBN = {0-86720-210-6},
-}
-
-@book{Mordell-Weil@Serre,
- AUTHOR = {Serre, Jean-Pierre},
- TITLE = {Autour du théorème de {M}ordell-{W}eil},
- SERIES = {cours au Collège de France},
- NOTE = {traduction anglaise publiée chez Vieweg},
- YEAR = {1980},
-}
-
-
-@book{Lecons@Lebesgue,
- AUTHOR = {Lebesgue, Henri},
- TITLE = {Leçons sur les constructions géométriques},
- PUBLISHER = {Gauthier-Villars},
- ADDRESS = {Paris},
- YEAR = {1950},
- PAGES = {vi+304},
-}
-
-@article{Tohoku@Grothendieck,
- AUTHOR = {Grothendieck, Alexandre},
- TITLE = {Sur quelques points d'algèbre homologique},
- JOURNAL = {Tôhoku Math. J. (2)},
- VOLUME = {9},
- YEAR = {1957},
- PAGES = {119--221},
-}
-
-@book{Douady-Douady,
-AUTHOR = {Douady, Régine and Douady, Adrien},
- TITLE = {Algèbre et théories galoisiennes},
- PUBLISHER = {Cassini},
- ADDRESS = {Paris},
- YEAR = {2005},
-}
-
-@book{Polya-Szego,
- AUTHOR = {Pólya, George and Szegő, Gabor},
- TITLE = {Problems and theorems in analysis, {I} et {II}},
- SERIES = {Classics in Mathematics},
- NOTE = {traduction de l'édition allemande de 1971},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {Berlin},
- YEAR = {1998},
- PAGES = {xii+392},
-}
-
-@book{Theorie@Samuel,
- AUTHOR = {Samuel, Pierre},
- TITLE = {Théorie algébrique des nombres},
- PUBLISHER = {Hermann},
- ADDRESS = {Paris},
- YEAR = {1967},
- PAGES = {130},
-}
-
-@incollection{cyclotomie@Weil,
- AUTHOR = {Weil, André},
- TITLE = {La cyclotomie jadis et naguère},
- BOOKTITLE = {Séminaire Bourbaki, 1973/1974, 26e année, Exp.
- No. 452},
- YEAR = {1974},
-}
-
-@incollection{Zeta@Heilbronn,
- AUTHOR = {Heilbronn, H.},
- TITLE = {Zeta-functions and {$L$}-functions},
- BOOKTITLE = {Algebraic Number Theory (Proc. Instructional Conf., Brighton,
- 1965)},
- PAGES = {204--230},
- YEAR = {1967},
-}
-
-@book{Memoire@Cauchy,
- AUTHOR = {Cauchy, Augustin-Louis},
- TITLE = {Mémoire sur la théorie des nombres},
- NOTE = {Œuvres I, vol. III ; disponible sur \url{gallica.bnf.fr}},
- YEAR = {1840},
-}
-
-@book{Disquisitiones@Gauss,
- AUTHOR = {Gauß, Carl Friedrich},
- TITLE = {Recherches arithmétiques (\emph{Disquisitiones arithmeticae})},
- NOTE = {Traduit du latin par A.-C.M. Poullet-Delisle.
-Réédité chez Jacques Gabay, Paris et disponible sur \url{gallica.bnf.fr}},
- YEAR = {1807},
-}
-
-@book{Tate-Silverman,
- AUTHOR = {Silverman, Joseph H. and Tate, John},
- TITLE = {Rational points on elliptic curves},
- SERIES = {Undergraduate Texts in Mathematics},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {New York},
- YEAR = {1992},
- PAGES = {x+281},
-}
-
-@book{Tagebuch@Gauss,
- AUTHOR = {Gauß, Carl Friedrich},
- TITLE = {Mathematisches {T}agebuch, 1796--1814},
- SERIES = {Ostwalds Klassiker der Exakten Wissenschaften},
- EDITION = {cinquième},
- NOTE = {Bilingue latin-allemand (avec commentaires en
-allemand). Traduction anglaise par J. Gray dans Expositiones mathematicae (1984)},
- PUBLISHER = {Verlag Harri Deutsch},
- YEAR = {1796-1814},
- PAGES = {235},
-}
-@Comment{YEAR=2005 préférable ?}
-
-@book{Categories@MacLane,
- AUTHOR = {Mac Lane, Saunders},
- TITLE = {Categories for the working mathematician},
- SERIES = {Graduate Texts in Mathematics},
- VOLUME = {5},
- EDITION = {seconde},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {New York},
- YEAR = {1998},
- PAGES = {xii+314},
-}
-
-@book{suuron1@kato-kurokawa-saito,
- AUTHOR = {Katô, Kazuya and Kurokawa, Noboushigué and Saïtô, Takéshi},
- TITLE = {Théorie des nombres I},
- NOTE = {En japonais},
- PUBLISHER = {Iwanami shoten},
- ADDRESS = {Tôkyô},
- YEAR = {2005},
-}
-
-@book{Cours@Serre,
- AUTHOR = {Serre, Jean-Pierre},
- TITLE = {Cours d'arithm\'etique},
- NOTE = {Deuxi\`eme \'edition revue et corrig\'ee},
- PUBLISHER = {Presses universitaires de France},
- ADDRESS = {Paris},
- YEAR = {1977},
- PAGES = {188},
-}
-
-@incollection{Zeta@Serre,
- AUTHOR = {Serre, Jean-Pierre},
- TITLE = {Zeta and {$L$} functions (Œuvres 64)},
- BOOKTITLE = {Arithmetical Algebraic Geometry (Proc. Conf. Purdue Univ.,
- 1963)},
- PAGES = {82--92},
- PUBLISHER = {Harper \& Row},
- ADDRESS = {New York},
- YEAR = {1965},
-}
-
-@incollection{Lefschetz@Grothendieck,
- AUTHOR = {Grothendieck, Alexandre},
- TITLE = {Formule de {L}efschetz et rationalit\'e des fonctions {$L$}},
- BOOKTITLE = {S\'eminaire Bourbaki, Vol.\ 9},
- PAGES = {Exp.\ No.\ 279, 41--55},
- PUBLISHER = {Réédité par la Soc. math. France},
- ADDRESS = {Paris},
- YEAR = {1964},
-}
-
-@article{Jacobi@Weil,
-author="Weil, Andr\'e",
-title="Jacobi sums as ``Gr{\"o}{\ss}encharaktere'' (Œuvres [1952d])",
-journal="Trans. Am. Math. Soc.",
-volume="73",
-pages="487-495",
-year="1952",
-}
-
-@article{Numbers@Weil,
- AUTHOR = {Weil, Andr{\'e}},
- TITLE = {Numbers of solutions of equations in finite fields (Œuvres [1949b])},
- JOURNAL = {Bull. Amer. Math. Soc.},
- VOLUME = {55},
- YEAR = {1949},
- PAGES = {497--508},
-}
-
-@article{Davenport-Hasse,
-author="Davenport, Harold and Hasse, Helmut",
-title="Die Nullstellen der Kongruenzzetafunktionen in gewissen zyklischen F{\"a}llen",
-journal="J. reine angew. Math.",
-volume="172",
-pages="151-182",
-year="1934",
-}
-
-@book{Basic2@Shafarevich,
- AUTHOR = {Shafarevich, Igor R.},
- TITLE = {Basic algebraic geometry, deuxième tome},
- EDITION = {Seconde},
- NOTE = {traduit du russe par Miles Reid},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {Berlin},
- YEAR = {1994},
- PAGES = {xiv+269},
-}
-
-@book{p-adic@Koblitz,
- AUTHOR = {Koblitz, Neal},
- TITLE = {{$p$}-adic numbers, {$p$}-adic analysis, and zeta-functions},
- SERIES = {Graduate Texts in Mathematics},
- VOLUME = {58},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {New York},
- YEAR = {1984},
- PAGES = {xii+150},
-}
-
-@article{Number@Koblitz,
- AUTHOR = {Koblitz, Neal},
- TITLE = {The number of points on certain families of hypersurfaces over
- finite fields},
- JOURNAL = {Compositio Math.},
- FJOURNAL = {Compositio Mathematica},
- VOLUME = {48},
- YEAR = {1983},
- NUMBER = {1},
- PAGES = {3--23},
-}
-
-@book{RB@Mumford,
- AUTHOR = {Mumford, David},
- TITLE = {The red book of varieties and schemes},
- SERIES = {Lecture Notes in Mathematics},
- VOLUME = {1358},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {Berlin},
- YEAR = {1988},
- PAGES = {vi+309},
-}
-
-@article{RamificationII@Abbes-Saito,
- AUTHOR = {Abbes, Ahmed and Sait\^o, Takeshi},
- TITLE = {Ramification of local fields with imperfect residue fields.
- {II}},
- JOURNAL = {Doc. Math.},
- FJOURNAL = {Documenta Mathematica},
- YEAR = {2003},
- NUMBER = {Extra Vol.},
- PAGES = {5--72},
-}
-
-@article{RamificationI@Abbes-Saito,
- AUTHOR = {Abbes, Ahmed and Sait\^o, Takeshi},
- TITLE = {Ramification of local fields with imperfect residue fields},
- JOURNAL = {Amer. J. Math.},
- FJOURNAL = {American Journal of Mathematics},
- VOLUME = {124},
- YEAR = {2002},
- NUMBER = {5},
- PAGES = {879--920},
-}
-
-@book{CRT@Matsumura,
- AUTHOR = {Matsumura, Hideyuki},
- TITLE = {Commutative ring theory},
- SERIES = {Cambridge Studies in Advanced Mathematics},
- VOLUME = {8},
- PUBLISHER = {Cambridge University Press},
- YEAR = {1989},
- PAGES = {xiv+320},
-}
-
-@book{Anneaux@Raynaud,
- AUTHOR = {Raynaud, Michel},
- TITLE = {Anneaux locaux hens\'eliens},
- SERIES = {Lecture Notes in Mathematics, Vol. 169},
- PUBLISHER = {Springer-Verlag},
- YEAR = {1970},
- PAGES = {v+129},
-}
-
-@book{CL@Serre,
- AUTHOR = {Serre, Jean-Pierre},
- TITLE = {Corps locaux},
- NOTE = {deuxi\`eme \'edition,
- publications de l'Universit\'e de Nancago, No. VIII},
- PUBLISHER = {Hermann},
- ADDRESS = {Paris},
- YEAR = {1968},
- PAGES = {245},
-}
-
-@book{Galois@Cox,
- AUTHOR = {Cox, David A.},
- TITLE = {Galois theory},
- SERIES = {Pure and Applied Mathematics (New York)},
- PUBLISHER = {Wiley-Interscience [John Wiley \& Sons]},
- ADDRESS = {Hoboken, NJ},
- YEAR = {2004},
- PAGES = {xx+559},
-}
-
-
-@Book{Algebre@Lang,
- AUTHOR = {Lang, Serge},
- TITLE = {Alg\`ebre. Cours et exercices},
- PUBLISHER = {Dunod},
- ADDRESS = {Paris},
- YEAR = {2004},
- PAGES = {944},
-}
-
-@Book{Algebra@VdW,
- AUTHOR = {van der Waerden, B. L.},
- TITLE = {Algebra. {V}ol. {I}},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {New York},
- YEAR = {1991},
- PAGES = {xiv+265},
-}
-
-@book{Ireland-Rosen,
- AUTHOR = {Ireland, Kenneth and Rosen, Michael},
- TITLE = {A classical introduction to modern number theory},
- SERIES = {Graduate Texts in Mathematics},
- VOLUME = {84},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {New York},
- YEAR = {1990},
- PAGES = {xiv+389},
-}
-
-@article{Jordan@Serre,
- AUTHOR = {Serre, Jean-Pierre},
- TITLE = {On a theorem of {J}ordan},
- JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
- FJOURNAL = {American Mathematical Society. Bulletin. New Series},
- VOLUME = {40},
- YEAR = {2003},
- NUMBER = {4},
- PAGES = {429--440},
-}
-
-@book{Bertini@Jouanolou,
- AUTHOR = {Jouanolou, Jean-Pierre},
- TITLE = {Th\'eor\`emes de {B}ertini et applications},
- SERIES = {Progress in Mathematics},
- VOLUME = {42},
- PUBLISHER = {Birkh\"auser},
- ADDRESS = {Boston},
- YEAR = {1983},
- PAGES = {ii+127},
-}
-
-@book{CG@Serre,
-author={Serre, Jean-Pierre},
-title={Cohomologie galoisienne (cinquième
-édition révisée et complétée)},
-SERIES = {Lecture Notes in Mathematics},
-VOLUME = {5},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {Berlin},
-year = {1994},
-}
-
-@article{Weil1@Deligne,
- AUTHOR = {Deligne, Pierre},
- TITLE = {La conjecture de {W}eil. {\sc i}},
- JOURNAL = {Publications mathématiques de l'{I}{H}{\'E}{S}},
- NUMBER = {43},
- YEAR = {1974},
- PAGES = {273--307},
-}
-
-@article{Weil2@Deligne,
- AUTHOR = {Deligne, Pierre},
- TITLE = {La conjecture de {W}eil {\sc ii}},
- JOURNAL = {Publications mathématiques de l'{I}{H}{É}{S}},
- NUMBER = {52},
- YEAR = {1980},
- PAGES = {137--252},
-}
-
-@book{GACC@Serre,
- AUTHOR = {Serre, Jean-Pierre},
- TITLE = {Groupes algébriques et corps de classes},
- NOTE = {Actualités scientifiques et industrielles, 1264},
- PUBLISHER = {Hermann},
- ADDRESS = {Paris},
- YEAR = {1958},
- PAGES = {207},
-}
-
-@article {EGA,
- AUTHOR = {Grothendieck, A.},
- TITLE = {\'{E}l\'ements de g\'eom\'etrie alg\'ebrique},
- NOTE = {numéros 4 (I) ; 8 (II) ; 11,17 (III) ; 20, 24 et 28 (IV), rédigés avec la collaboration de J. Dieudonné.},
- JOURNAL = {Publications mathématiques de l'{I}{H}{\'E}{S}},
- YEAR = {1960-1967},
-}
-
-@book{Etale@Milne,
- AUTHOR = {Milne, James S.},
- TITLE = {\'{E}tale cohomology},
- PUBLISHER = {Princeton University Press},
- ADDRESS = {Princeton, N.J.},
- YEAR = {1980},
- PAGES = {xiii+323},
-}
-
-@book{Algebre@Serre,
- AUTHOR = {Serre, Jean-Pierre},
- TITLE = {Alg\`ebre locale. {M}ultiplicit\'es},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {Berlin},
- YEAR = {1965},
- PAGES = {vii+188 pp.},
- MRCLASS = {13.95 (14.08)},
- MRNUMBER = {34 \#1352},
-MRREVIEWER = {M. Nagata},
-}
-
-@Book{ATLAS,
- AUTHOR = {Conway, John Horton and Curtis, Robert Turner and Norton, Simon Phillips and Parker, Richard Alan and Wilson, Robert Arnott},
- TITLE = {{ATLAS} of Finite Groups},
- PUBLISHER = {Oxford University Press},
- YEAR = {1985},
-}
-
-@article{invariant@Serre,
- AUTHOR = {Serre, Jean-Pierre},
- TITLE = {L'invariant de {W}itt de la forme {${\rm Tr}(x^2)$}},
- JOURNAL = {Comment. Math. Helv.},
- FJOURNAL = {Commentarii Mathematici Helvetici},
- VOLUME = {59},
- YEAR = {1984},
- NUMBER = {4},
- PAGES = {651--676},
- ISSN = {0010-2571},
- DOI = {10.1007/BF02566371},
- URL = {http://dx.doi.org/10.1007/BF02566371},
-}
-
-@article{central@Amitsur,
- AUTHOR = {Amitsur, S. A.},
- TITLE = {On central division algebras},
- JOURNAL = {Israel J. Math.},
- FJOURNAL = {Israel Journal of Mathematics},
- VOLUME = {12},
- YEAR = {1972},
- PAGES = {408--420},
- ISSN = {0021-2172},
-}
-
-@book{BHN@Roquette,
- AUTHOR = {Roquette, Peter},
- TITLE = {The {B}rauer-{H}asse-{N}oether theorem in historical perspective},
- SERIES = {Schriften der Mathematisch-Naturwissenschaftlichen Klasse der
- Heidelberger Akademie der Wissenschaften},
- VOLUME = {15},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {Berlin},
- YEAR = {2005},
- PAGES = {vi+92},
- ISBN = {3-540-23005-X},
-}
-
-@article{Lineare@Kneser,
- AUTHOR = {Kneser, Martin},
- TITLE = {Lineare {A}bhängigkeit von {W}urzeln},
- JOURNAL = {Acta Arith.},
- FJOURNAL = {Polska Akademia Nauk. Instytut Matematyczny. Acta Arithmetica},
- VOLUME = {26},
- YEAR = {1975},
- NUMBER = {3},
- PAGES = {307--308},
- URL ={http://matwbn.icm.edu.pl/ksiazki/aa/aa26/aa26313.pdf},
- ISSN = {0065-1036},
-}
-
-@article{Reflexions@Lagrange,
-AUTHOR = {Lagrange, Joseph-Louis},
-TITLE = {Réflexions sur la résolution algébrique des
-équations},
-JOURNAL = {Nouveaux mémoires de l'Acad. des sc. et b.-l. de
-Berlin},
-YEAR = {1770-1771},
-}
-
-@book{Rotman,
- AUTHOR = {Rotman, Joseph J.},
- TITLE = {An Introduction to the Theory of Groups},
- EDITION = {quatrième},
- SERIES = {Graduate Texts in Mathematics},
- VOLUME = {148},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {New York},
- YEAR = {1995},
-}
-
-@book{Dixon-Mortimer,
- AUTHOR = {Dixon, John D. and Mortimer, Brian},
- TITLE = {Permutation Groups},
- SERIES = {Graduate Texts in Mathematics},
- VOLUME = {163},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {New York},
- YEAR = {1996},
-}
-
-@book{Wilson-Parker,
- AUTHOR = {Wilson, Robert and Parker, Christopher W.},
- TITLE = {The Finite Simple Groups},
- SERIES = {Graduate Texts in Mathematics},
- VOLUME = {251},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {New York},
- YEAR = {2009},
-}
-
-@book{Polynomials@Schinzel,
- AUTHOR = {Schinzel, Andrzej},
- TITLE = {Polynomials with special regard to reducibility},
- SERIES = {Encyclopedia of Mathematics and its Applications},
- VOLUME = {77},
- NOTE = {Avec un appendice de Umberto Zannier},
- PUBLISHER = {Cambridge University Press},
- ADDRESS = {Cambridge},
- YEAR = {2000},
- PAGES = {x+558},
- ISBN = {0-521-66225-7},
- DOI = {10.1017/CBO9780511542916},
- URL = {http://dx.doi.org/10.1017/CBO9780511542916},
-}
-
-@article{Kennzeichnung@AS,
-author="Artin, Emil and Schreier, Otto",
-title="{Eine Kennzeichnung der reell abgeschlossenen Körper.}",
-journal="Abhandlungen Hamburg ",
-volume="5",
-pages="225-231",
-year="1927",
-doi={10.1007/BF02952522},}
-
-@article {Cyclic@Albert,
- AUTHOR = {Albert, A. A.},
- TITLE = {Cyclic fields of degree {$p^n$} over {$F$} of characteristic {$p$}},
- JOURNAL = {Bull. Amer. Math. Soc.},
- FJOURNAL = {Bulletin of the American Mathematical Society},
- VOLUME = {40},
- YEAR = {1934},
- NUMBER = {8},
- PAGES = {625--631},
- ISSN = {0002-9904},
- DOI = {10.1090/S0002-9904-1934-05930-5},
- URL = {http://dx.doi.org/10.1090/S0002-9904-1934-05930-5},
-}
-
-@book{Knus-Ojanguren,
- AUTHOR = {Knus, Max-Albert and Ojanguren, Manuel},
- TITLE = {Théorie de la descente et algèbres d'{A}zumaya},
- SERIES = {Lecture Notes in Mathematics, vol. 389},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {Berlin},
- YEAR = {1974},
- PAGES = {iv+163},
-}
-
-@book{Borceux-Janelidze,
- AUTHOR = {Borceux, Francis and Janelidze, George},
- TITLE = {Galois theories},
- SERIES = {Cambridge Studies in Advanced Mathematics},
- VOLUME = {72},
- PUBLISHER = {Cambridge University Press},
- ADDRESS = {Cambridge},
- YEAR = {2001},
- PAGES = {xiv+341},
- ISBN = {0-521-80309-8},
- DOI = {10.1017/CBO9780511619939},
-}
-
-@article{Cubic@Coray,
- AUTHOR = {Coray, Daniel F.},
- TITLE = {Cubic hypersurfaces and a result of {H}ermite},
- JOURNAL = {Duke Math. J.},
- FJOURNAL = {Duke Mathematical Journal},
- VOLUME = {54},
- YEAR = {1987},
- NUMBER = {2},
- PAGES = {657--670},
- ISSN = {0012-7094},
- DOI = {10.1215/S0012-7094-87-05428-7},
- URL = {http://dx.doi.org/10.1215/S0012-7094-87-05428-7},
-}
-
-@book{Local@Cassels,
- AUTHOR = {Cassels, J. W. S.},
- TITLE = {Local fields},
- SERIES = {London Mathematical Society Student Texts},
- VOLUME = {3},
- PUBLISHER = {Cambridge University Press},
- ADDRESS = {Cambridge},
- YEAR = {1986},
- PAGES = {xiv+360},
- ISBN = {978-521-31525-8},
-}
-
-@inproceedings{note@Iwasawa,
-AUTHOR = {Iwasawa, Kenkichi},
-TITLE = {A note on functions},
-BOOKTITLE = {Proceedings of the International congress of mathematicians (Cambridge, 1949)},
-YEAR = {1952},
-PUBLISHER = {American mathematical society},
-ADDRESS = {Providence},
-}
-
-@inbook{Lettre@Iwasawa,
- AUTHOR = {Iwasawa, Kenkichi},
- TITLE = {Lettre à {J}. {D}ieudonné},
- NOTE ={[66] dans \cite{Collected@Iwasawa}},
- YEAR = {1952},
-}
-
-@book{Collected@Iwasawa,
- AUTHOR = {Iwasawa, Kenkichi},
- TITLE = {Collected papers. {V}ol. {I}, {II}},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {Tôkyô},
- YEAR = {2001},
- ISBN = {4-431-70314-4},
-}
-
-@incollection{Fourier@Tate,
- AUTHOR = {Tate, J. T.},
- TITLE = {Fourier analysis in number fields, and {H}ecke's zeta-functions},
- BOOKTITLE = {Algebraic {N}umber {T}heory ({P}roc. {I}nstructional {C}onf., {B}righton, 1965)},
- PAGES = {305--347},
- PUBLISHER = {Thompson, Washington, D.C.},
- YEAR = {1967},
-}
-
-@incollection{Counting@Bombieri,
- AUTHOR = {Bombieri, Enrico},
- TITLE = {Counting points on curves over finite fields
-(d'après {S}. {A}. {S}tepanov)},
- BOOKTITLE = {Séminaire {B}ourbaki, 25ème année (1972/1973),
-{E}xp. {N}o. 430},
- PAGES = {234--241. Lecture Notes in Math., Vol. 383},
- PUBLISHER = {Springer},
- ADDRESS = {Berlin},
- YEAR = {1974},
- URL={http://www.numdam.org/item?id=SB_1972-1973__15__234_0},
-}
-
-@book{distributions@Schwartz,
- AUTHOR = {Schwartz, Laurent},
- TITLE = {Théorie des distributions},
- SERIES = {Nouvelle édition, entièrement corrigée, refondue et augmentée},
- PUBLISHER = {Hermann},
- ADDRESS = {Paris},
- YEAR = {1966},
- PAGES = {xiii+420},
-}
-
-@book{analysisI@Hormander,
- AUTHOR = {Hörmander, Lars},
- TITLE = {The analysis of linear partial differential operators. {I}},
- SERIES = {Classics in Mathematics},
- NOTE = {Distribution theory and Fourier analysis},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {Berlin},
- YEAR = {2003},
- PAGES = {x+440},
- ISBN = {3-540-00662-1},
-}
-
-@book{Elements@Colmez,
- AUTHOR = {Colmez, Pierre},
- TITLE = {Éléments d'analyse et d'algèbre (et de théorie des nombres)},
- PUBLISHER = {Éditions de l'École polytechnique, Palaiseau},
- YEAR = {2009},
- PAGES = {xii+469},
- ISBN = {978-2-7302-1563-3},
-}
-
-@book{introduction@Igusa,
- AUTHOR = {Igusa, Jun-ichi},
- TITLE = {An introduction to the theory of local zeta
-functions},
- SERIES = {AMS/IP Studies in Advanced Mathematics},
- VOLUME = {14},
- PUBLISHER = {American Mathematical Society},
- ADDRESS = {Providence, RI},
- YEAR = {2000},
- PAGES = {xii+232},
- ISBN = {0-8218-2015-X},
-}
-
-@book{Bushnell-Henniart,
- AUTHOR = {Bushnell, Colin J. and Henniart, Guy},
- TITLE = {The local {L}anglands conjecture for {$\rm GL(2)$}},
- SERIES = {Grundlehren der Mathematischen Wissenschaften},
- VOLUME = {335},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {Berlin},
- YEAR = {2006},
- PAGES = {xii+347},
- ISBN = {978-3-540-31486-8; 3-540-31486-5},
- URL = {http://dx.doi.org/10.1007/3-540-31511-X},
-}
-
-@article{Bernstein-Zelevinski,
- AUTHOR = {Bernšteĭn, I. N. and Zelevinskiĭ, A. V.},
- TITLE = {Representations of the group {$GL(n,F)$}, where {$F$} is a
- local non-{A}rchimedean field},
- JOURNAL = {Uspehi Mat. Nauk},
- FJOURNAL = {Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo.
- Uspekhi Matematicheskikh Nauk},
- VOLUME = {31},
- YEAR = {1976},
- NUMBER = {3(189)},
- PAGES = {5--70},
- ISSN = {0042-1316},
+ title = {\jap{整数論}},
+ publisher = {\jap{共立出版}},
+ year = {1997},
+ author = {Sa{\"i}t{\^o}, Sh{\^u}ji},
+ address = {Tôkyô}
+}
+
+@BOOK{Polynomials@Schinzel,
+ title = {Polynomials with special regard to reducibility},
+ publisher = {Cambridge University Press},
+ year = {2000},
+ author = {Schinzel, Andrzej},
+ volume = {77},
+ pages = {x+558},
+ series = {Encyclopedia of Mathematics and its Applications},
+ address = {Cambridge},
+ note = {Avec un appendice de Umberto Zannier},
+ doi = {10.1017/CBO9780511542916},
+ isbn = {0-521-66225-7},
+ url = {http://dx.doi.org/10.1017/CBO9780511542916}
+}
+
+@BOOK{distributions@Schwartz,
+ title = {Théorie des distributions},
+ publisher = {Hermann},
+ year = {1966},
+ author = {Schwartz, Laurent},
+ pages = {xiii+420},
+ series = {Nouvelle édition, entièrement corrigée, refondue et augmentée},
+ address = {Paris}
+}
+
+@ARTICLE{Jordan@Serre,
+ author = {Serre, Jean-Pierre},
+ title = {On a theorem of {J}ordan},
+ journal = {Bull. Amer. Math. Soc. (N.S.)},
+ year = {2003},
+ volume = {40},
+ pages = {429--440},
+ number = {4},
+ fjournal = {American Mathematical Society. Bulletin. New Series}
+}
+
+@BOOK{CG@Serre,
+ title = {Cohomologie galoisienne (cinquième édition révisée et complétée)},
+ publisher = {Springer-Verlag},
+ year = {1994},
+ author = {Serre, Jean-Pierre},
+ volume = {5},
+ series = {Lecture Notes in Mathematics},
+ address = {Berlin}
+}
+
+@BOOK{Topics@Serre,
+ title = {Topics in {G}alois theory},
+ publisher = {Jones and Bartlett Publishers},
+ year = {1992},
+ author = {Serre, Jean-Pierre},
+ volume = {1},
+ pages = {xvi+117},
+ series = {Research Notes in Mathematics},
+ address = {Boston, MA},
+ isbn = {0-86720-210-6}
+}
+
+@ARTICLE{invariant@Serre,
+ author = {Serre, Jean-Pierre},
+ title = {L'invariant de {W}itt de la forme {${\rm Tr}(x^2)$}},
+ journal = {Comment. Math. Helv.},
+ year = {1984},
+ volume = {59},
+ pages = {651--676},
+ number = {4},
+ doi = {10.1007/BF02566371},
+ fjournal = {Commentarii Mathematici Helvetici},
+ issn = {0010-2571},
+ url = {http://dx.doi.org/10.1007/BF02566371}
+}
+
+@BOOK{Mordell-Weil@Serre,
+ title = {Autour du théorème de {M}ordell-{W}eil},
+ year = {1980},
+ author = {Serre, Jean-Pierre},
+ series = {cours au Collège de France},
+ note = {traduction anglaise publiée chez Vieweg}
+}
+
+@BOOK{Cours@Serre,
+ title = {Cours d'arithm\'etique},
+ publisher = {Presses universitaires de France},
+ year = {1977},
+ author = {Serre, Jean-Pierre},
+ pages = {188},
+ address = {Paris},
+ note = {Deuxi\`eme \'edition revue et corrig\'ee}
+}
+
+@BOOK{CL@Serre,
+ title = {Corps locaux},
+ publisher = {Hermann},
+ year = {1968},
+ author = {Serre, Jean-Pierre},
+ pages = {245},
+ address = {Paris},
+ note = {deuxi\`eme \'edition, publications de l'Universit\'e de Nancago,
+ No. VIII}
+}
+
+@BOOK{Algebre@Serre,
+ title = {Alg\`ebre locale. {M}ultiplicit\'es},
+ publisher = {Springer-Verlag},
+ year = {1965},
+ author = {Serre, Jean-Pierre},
+ pages = {vii+188 pp.},
+ address = {Berlin},
+ mrclass = {13.95 (14.08)},
+ mrnumber = {34 \#1352},
+ mrreviewer = {M. Nagata}
+}
+
+@INCOLLECTION{Zeta@Serre,
+ author = {Serre, Jean-Pierre},
+ title = {Zeta and {$L$} functions (Œuvres 64)},
+ booktitle = {Arithmetical Algebraic Geometry (Proc. Conf. Purdue Univ., 1963)},
+ publisher = {Harper \& Row},
+ year = {1965},
+ pages = {82--92},
+ address = {New York}
+}
+
+@BOOK{GACC@Serre,
+ title = {Groupes algébriques et corps de classes},
+ publisher = {Hermann},
+ year = {1958},
+ author = {Serre, Jean-Pierre},
+ pages = {207},
+ address = {Paris},
+ note = {Actualités scientifiques et industrielles, 1264}
+}
+
+@BOOK{Basic2@Shafarevich,
+ title = {Basic algebraic geometry, deuxième tome},
+ publisher = {Springer-Verlag},
+ year = {1994},
+ author = {Shafarevich, Igor R.},
+ pages = {xiv+269},
+ address = {Berlin},
+ edition = {Seconde},
+ note = {traduit du russe par Miles Reid}
+}
+
+@ARTICLE{Pisot@Siegel,
+ author = {Siegel, Carl Ludwig},
+ title = {Algebraic integers whose conjugates lie in the unit circle},
+ journal = {Duke Math. J.},
+ year = {1944},
+ volume = {11},
+ pages = {597--602},
+ fjournal = {Duke Mathematical Journal},
+ issn = {0012-7094}
+}
+
+@BOOK{Tate-Silverman,
+ title = {Rational points on elliptic curves},
+ publisher = {Springer-Verlag},
+ year = {1992},
+ author = {Silverman, Joseph H. and Tate, John},
+ pages = {x+281},
+ series = {Undergraduate Texts in Mathematics},
+ address = {New York}
+}
+
+@ARTICLE{ZSG@Speiser,
+ author = {Speiser, A.},
+ title = {Zahlentheoretische {S}ätze aus der {G}ruppentheorie},
+ journal = {Math. Zeit.},
+ year = {1919},
+ volume = {5},
+ pages = {1--6},
+ number = {1-2},
+ doi = {10.1007/BF01203150},
+ fjournal = {Mathematische Zeitschrift},
+ issn = {0025-5874},
+ url = {http://dx.doi.org/10.1007/BF01203150}
+}
+
+@INCOLLECTION{Fourier@Tate,
+ author = {Tate, J. T.},
+ title = {Fourier analysis in number fields, and {H}ecke's zeta-functions},
+ booktitle = {Algebraic {N}umber {T}heory ({P}roc. {I}nstructional {C}onf., {B}righton,
+ 1965)},
+ publisher = {Thompson, Washington, D.C.},
+ year = {1967},
+ pages = {305--347}
+}
+
+@BOOK{Algebra@VdW,
+ title = {Algebra. {V}ol. {I}},
+ publisher = {Springer-Verlag},
+ year = {1991},
+ author = {van der Waerden, B. L.},
+ pages = {xiv+265},
+ address = {New York}
+}
+
+@BOOK{BNT@Weil,
+ title = {Basic number theory},
+ publisher = {Springer-Verlag},
+ year = {1974},
+ author = {Weil, André},
+ pages = {xviii+325},
+ address = {New York},
+ edition = {troisième},
+ note = {Die Grundlehren der Mathematischen Wissenschaften, Band 144}
+}
+
+@INCOLLECTION{cyclotomie@Weil,
+ author = {Weil, André},
+ title = {La cyclotomie jadis et naguère},
+ booktitle = {Séminaire Bourbaki, 1973/1974, 26e année, Exp. No. 452},
+ year = {1974}
+}
+
+@INCOLLECTION{Fonction@Weil,
+ author = {Weil, André},
+ title = {Fonction zêta et distributions},
+ booktitle = {Séminaire {B}ourbaki},
+ year = {1966},
+ pages = {Exp.\ No.\ 312}
+}
+
+@ARTICLE{Jacobi@Weil,
+ author = {Weil, Andr\'e},
+ title = {Jacobi sums as ``Gr{\"o}{\ss}encharaktere'' (Œuvres [1952d])},
+ journal = {Trans. Am. Math. Soc.},
+ year = {1952},
+ volume = {73},
+ pages = {487-495}
+}
+
+@ARTICLE{Numbers@Weil,
+ author = {Weil, Andr{\'e}},
+ title = {Numbers of solutions of equations in finite fields (Œuvres [1949b])},
+ journal = {Bull. Amer. Math. Soc.},
+ year = {1949},
+ volume = {55},
+ pages = {497--508}
+}
+
+@BOOK{Wilson-Parker,
+ title = {The Finite Simple Groups},
+ publisher = {Springer-Verlag},
+ year = {2009},
+ author = {Wilson, Robert and Parker, Christopher W.},
+ volume = {251},
+ series = {Graduate Texts in Mathematics},
+ address = {New York}
+}
+
+@BOOK{Oeuvres@Witt,
+ title = {{G}esammelte {A}bhandlungen ({Œ}uvres)},
+ publisher = {Springer-Verlag},
+ year = {1998},
+ author = {Witt, Ernst},
+ pages = {xvi+420},
+ address = {Berlin},
+ isbn = {3-540-57061-6}
+}
+
+@ARTICLE{Konstruktion@Witt,
+ author = {Witt, Ernst},
+ title = {{Konstruktion von galoisschen Körpern der Charakteristik $p$ zu vorgegebener
+ Gruppe der Ordnung $p^f$.}},
+ journal = {J. reine angew. Math.},
+ year = {1936},
+ volume = {174},
+ pages = {237-245},
+ note = {№20 in \cite{Oeuvres@Witt}}
}
+