zeta function

English

Noun

zeta function (plural zeta functions)

1. (mathematics) function of the complex variable s that analytically continues the sum of the infinite series $\sum _{n=1}^{\infty }{\frac {1}{n^{s}}}$ that converges when the real part of s is greater than 1.

   Hypernym: function

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
• multiple zeta-function
• p-adic zeta-function
• prime zeta-function
• Riemann zeta-function
• Ruelle zeta-function
• Selberg zeta-function
• Shimizu L-function
• Shintani zeta-function
• subgroup zeta-function
• Witten zeta-function

Translations

function

• Finnish: zeeta-funktio
• German: ζ-Funktion f
• Turkish: zeta-fonksiyonu

References

• zeta function on Wikipedia.Wikipedia