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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 Selberg class ： ウィキペディア英語版 Selberg class In mathematics, the Selberg class is an axiomatic definition of a class of ''L''-functions. The members of the class are Dirichlet series which obey four axioms that seem to capture the essential properties satisfied by most functions that are commonly called ''L''-functions or zeta functions. Although the exact nature of the class is conjectural, the hope is that the definition of the class will lead to a classification of its contents and an elucidation of its properties, including insight into their relationship to automorphic forms and the Riemann hypothesis. The class was defined by Atle Selberg in . ==Definition== The formal definition of the class ''S'' is the set of all Dirichlet series :$F(s)=\backslash sum\_^\backslash infty\; \backslash frac$ absolutely convergent for Re(''s'') > 1 that satisfy four axioms: =O(p^).\, }} 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「Selberg class」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.