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| -rw-r--r-- | chapitres/Dedekind.tex | 3 | ||||
| -rw-r--r-- | configuration/bibliographie-livre.bib | 32 |
2 files changed, 35 insertions, 0 deletions
diff --git a/chapitres/Dedekind.tex b/chapitres/Dedekind.tex index cbf2afc..b77fbaf 100644 --- a/chapitres/Dedekind.tex +++ b/chapitres/Dedekind.tex @@ -358,6 +358,9 @@ Mieux : Prolongement méromorphe. Équation fonctionnelle. \end{théorème2} +Méthode Iwasawa-Tate (\cite{note@Iwasawa},\cite{Lettre@Iwasawa},\cite{Collected@Iwasawa} et \cite{Fourier@Tate}). + + \begin{théorème2}[Pôle simple en $1$] \XXX Soit $K$ un corps de nombres. Pour toute classe $\mathsf{C}\in \Pic(𝒪_K)$, il existe une diff --git a/configuration/bibliographie-livre.bib b/configuration/bibliographie-livre.bib index c902314..2aec7f6 100644 --- a/configuration/bibliographie-livre.bib +++ b/configuration/bibliographie-livre.bib @@ -870,3 +870,35 @@ doi={10.1007/BF02952522},} 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}, |