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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 List of zeta functions ： ウィキペディア英語版 List of zeta functions In mathematics, a zeta function is (usually) a function analogous to the original example: the Riemann zeta function : $\backslash zeta(s)\; =\; \backslash sum\_^\; \backslash frac.$ Zeta functions include: * Airy zeta function, related to the zeros of the Airy function * Arakawa–Kaneko zeta function * Arithmetic zeta function * Artin–Mazur zeta-function of a dynamical system * Barnes zeta function or Double zeta function * Beurling zeta function of Beurling generalized primes * Dedekind zeta-function of a number field * Epstein zeta-function of a quadratic form. * Goss zeta function of a function field * Hasse–Weil zeta-function of a variety * Height zeta function of a variety * Hurwitz zeta-function A generalization of the Riemann zeta function * Ihara zeta-function of a graph * Igusa zeta-function * L-function, a 'twisted' zeta-function. * Lefschetz zeta-function of a morphism * Lerch zeta-function A generalization of the Riemann zeta function * Local zeta-function of a characteristic ''p'' variety * Matsumoto zeta function * Minakshisundaram–Pleijel zeta function of a Laplacian * Motivic zeta function of a motive * Multiple zeta function or Mordell–Tornheim zeta-function of several variables * p-adic zeta function of a ''p''-adic number * Prime zeta function Like the Riemann zeta function, but only summed over primes. * Riemann zeta function The archetypal example. * Ruelle zeta function * Selberg zeta-function of a Riemann surface * Shimizu L-function * Shintani zeta function * Subgroup zeta function * Witten zeta function of a Lie group * Zeta function of an incidence algebra, a function that maps every interval of a poset to the constant value 1. Despite not resembling a holomorphic function, the special case for the poset of integer divisibility is related as a formal Dirichlet series to the Riemann zeta function. * Zeta function of an operator or Spectral zeta function ==See also== ;Other functions called zeta functions, but not analogous to the Riemann zeta function *Jacobi zeta function *Weierstrass zeta function ;Topics related to zeta functions *Artin conjecture *Birch and Swinnerton-Dyer conjecture *Riemann hypothesis and the generalized Riemann hypothesis. *Selberg class S 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「List of zeta functions」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.