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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Hecke operator ： ウィキペディア英語版 Hecke operator In mathematics, in particular in the theory of modular forms, a Hecke operator, studied by , is a certain kind of "averaging" operator that plays a significant role in the structure of vector spaces of modular forms and more general automorphic representations. == History == used Hecke operators on modular forms in a paper on the special cusp form of Ramanujan, ahead of the general theory given by . Mordell proved that the Ramanujan tau function, expressing the coefficients of the Ramanujan form, : $\backslash Delta(q)=q\backslash left(\backslash prod\_^(1-q^n)\backslash right)^=$ \sum_^ \tau(n)q^n, \quad q=e^, is a multiplicative function: : $\backslash tau(mn)=\backslash tau(m)\backslash tau(n)\; \backslash quad\; \backslash text\; (m,n)=1.$ The idea goes back to earlier work of Hurwitz, who treated algebraic correspondences between modular curves which realise some individual Hecke operators. 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「Hecke operator」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.