翻訳と辞書 Words near each other ・ Arithmetic group ・ Arithmetic hyperbolic 3-manifold ・ Arithmetic IF ・ Arithmetic logic unit ・ Arithmetic mean ・ Arithmetic number ・ Arithmetic of abelian varieties ・ Arithmetic overflow ・ Arithmetic progression ・ Arithmetic rope ・ Arithmetic shift ・ Arithmetic surface ・ Arithmetic topology ・ Arithmetic underflow ・ Arithmetic variety ・ Arithmetic zeta function ・ Arithmetica ・ Arithmetica Universalis ・ Arithmetical hierarchy ・ Arithmetical ring ・ Arithmetical set ・ Arithmetico-geometric sequence ・ Arithmetic–geometric mean ・ Arithmetization of analysis ・ Arithmeum ・ Arithmomania ・ Arithmometer ・ Ariti ・ Aritmija ・ Aritmija (novel) 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 Arithmetic zeta function ： ウィキペディア英語版 Arithmetic zeta function In mathematics, the arithmetic zeta function is a zeta function associated with a scheme of finite type over integers. The arithmetic zeta function generalizes the Riemann zeta function and Dedekind zeta function to higher dimensions. The arithmetic zeta function is one of the most-fundamental objects of number theory. ==Definition== The arithmetic zeta function is defined by an Euler product analogous to the Riemann zeta function: :$=\; \backslash prod\_\; \backslash frac\{1\; -\; N(x)^\{-s\}\},$ where the product is taken over all closed points of the scheme . Equivalently, the product is over all points whose residue field is finite. The cardinality of this field is denoted . 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「Arithmetic zeta function」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.