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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. 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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. 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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. 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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}} } + |