Riemann zeta function
id:
riemann-zeta-function-223-4334819
title:
Riemann zeta function
text:
The Riemann zeta function or Euler–Riemann zeta function, denoted by the Greek letter ζ (zeta), is a mathematical function of a complex variable defined as ζ = ∑ n = 1 ∞ 1 n s = 1 1 s + 1 2 s + 1 3 s + ⋯ for Re > 1, and its analytic continuation elsewhere. The Riemann zeta function plays a pivotal role in analytic number theory and has applications in physics, probability theory, and applied statistics. Leonhard Euler first introduced and studied the function over the reals in the first half o
brand slug:
wiki
category slug:
encyclopedia
description:
Analytic function in mathematics
original url:
https://en.wikipedia.org/wiki/Riemann_zeta_function
date created:
2001-09-01T15:21:15Z
date modified:
2024-09-14T06:05:39Z
main entity:
{"identifier":"Q187235","url":"https://www.wikidata.org/entity/Q187235"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/2/2e/Cplot_zeta.svg","width":462,"height":426}
fields total:
13
integrity:
16