| 翻訳と辞書 |
| 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
:
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.
|
|