File:Cplot_zeta.svg · Wikimedia Commons · See Wikimedia Commons
Riemann zeta function
Sign in to saveAlso known as Euler-Riemann zeta function, zeta function
analytic function
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AI-generated from the Wikipedia summary — may contain errors.
Wikidata facts
- Named after
- Leonhard Euler
- Image
- Complex zeta.jpg
Show 4 more facts
- Commons category
- Riemann zeta function
- described by source
- On the Number of Primes Less Than a Given Magnitude
- studied by
- analytic number theory
- maintained by WikiProject
- WikiProject Mathematics
via Wikidata · CC0
~40 min read
Encyclopedic overview
The Riemann zeta function ζ(z) plotted with domain coloring The pole at z = 1 and two zeros on the critical line The Riemann zeta function or Euler–Riemann zeta function, denoted by the lowercase Greek letter ζ (zeta), is a mathematical function of a complex variable defined as
ζ ( s ) =
Excerpted from Wikipedia’s “Riemann zeta function” article, available under the CC BY-SA 4.0 licence.