翻訳と辞書 Words near each other ・ Shimun Vrochek ・ Shimun X Eliyah ・ Shimun XI Eshuyow ・ Shimun XII Yoalaha ・ Shimun XIII Dinkha ・ Shimun XIV Shlemon ・ Shimun XV Maqdassi Mikhail ・ Shimun XVI Yohannan ・ Shimun XVII Abraham ・ Shimun XVIII Rubil ・ Shimun XXI Benyamin ・ Shimun XXII Paulos ・ Shimun XXIII Eshai ・ Shimunenga ・ Shimura ・ Shimura correspondence ・ Shimura subgroup ・ Shimura variety ・ Shimura's reciprocity law ・ Shimura-sakaue Station ・ Shimura-sanchōme Station ・ Shimurali ・ Shimushu-class escort ship ・ Shimōsa Plateau ・ Shimōsa Province ・ Shimōsa-Kōzaki Station ・ Shimōsa-Manzaki Station ・ Shimōsa-Nakayama Station ・ Shimōsa-Tachibana Station ・ Shimōsa-Toyosato Station Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Shimura correspondence ： ウィキペディア英語版 Shimura correspondence In number theory, the Shimura correspondence is a correspondence between modular forms ''F'' of half integral weight ''k''+1/2, and modular forms ''f'' of even weight 2''k'', discovered by . It has the property that the eigenvalue of a Hecke operator ''T''''n''2 on ''F'' is equal to the eigenvalue of ''T''''n'' on ''f''. Let $f$ be a holomorphic cusp form with weight $(2k+1)/2$ and character $\backslash chi$ . For any prime number ''p'', let :$\backslash sum^\backslash infty\_\backslash Lambda(n)n^=\backslash prod\_p(1-\backslash omega\_pp^+(\backslash chi\_p)^2p^)^\backslash \; ,$ where $\backslash omega\_p$'s are the eigenvalues of the Hecke operators $T(p^2)$ determined by ''p''. Using the functional equation of L-function, Shimura showed that :$F(z)=\backslash sum^\backslash infty\_\; \backslash Lambda(n)q^n$ is a holomorphic modular function with weight ''2k'' and character $\backslash chi^2$ . ==References== * * 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Shimura correspondence」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.