zeta function

function of the complex variable s that analytically continues the sum of the infinite series ∑ₙ₌₁ ᪲1/(nˢ) that converges when the real part of s is greater than 1.

Noun

  1. function of the complex variable s that analytically continues the sum of the infinite series ∑ₙ₌₁ ᪲1/(nˢ) that converges when the real part of s is greater than 1.

    Hypernyms: function

Forms

zeta functions

Hyponyms

Airy zeta-function Arakawa–Kaneko zeta-function arithmetic zeta-function Artin–Mazur zeta-function Barnes zeta-function Beurling zeta-function Dedekind zeta-function double zeta-function Epstein zeta-function Euler-Riemann zeta-function Goss zeta-function Hasse–Weil zeta-function height zeta-function Hurwitz zeta-function Igusa zeta-function Ihara zeta-function Lefschetz zeta-function Lerch zeta-function L-function local zeta-function Matsumoto zeta-function Minakshisundaram–Pleijel zeta-function Mordell–Tornheim zeta-function Motivic zeta-function