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Noun Concept
Categories: Articles with short description, Analytic number theory, long volume value, Zeta and L-functions, Meromorphic functions
EN
Riemann zeta function  Reimann zeta function  Ζ  critical strip  Euler-Riemann zeta function
EN
The Riemann zeta function or Euler–Riemann zeta function, denoted by the Greek letter ζ, is a mathematical function of a complex variable defined as for Re ⁡ > 1 {\displaystyle \operatorname {Re} >1}, and its analytic continuation elsewhere. Wikipedia
Definitions
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Sources
EN
The Riemann zeta function or Euler–Riemann zeta function, denoted by the Greek letter ζ, is a mathematical function of a complex variable defined as for Re ⁡ > 1 {\displaystyle \operatorname {Re} >1}, and its analytic continuation elsewhere. Wikipedia
A function used in analytic number theory Wikipedia Disambiguation
Analytic function Wikidata
The function ζ defined by the Dirichlet series ζ ( s ) = ∑ n = 1 ∞ 1 n s = 1 1 s + 1 2 s + 1 3 s + 1 4 s + ⋯ , which is summable for points s in the complex half-plane with real part > 1; the analytic continuation of said function, being a holomorphic function defined on the complex numbers with pole at 1. Wiktionary
Analytic continuation of a function defined as the sum of a Dirichlet series. Wiktionary (translation)
IS A
hypertranscendental function
special function
transcendental function
Dirichlet L-function
analytic function
+1 relations
DESCRIBED BY SOURCE
On the Number of Primes Less Than a Given Magnitude
HAS QUALITY
zeta function universality
NAMED AFTER
Riemann
Euler
STUDIED BY
analytic number theory
Wikipedia
EN
Riemann zeta function
Wikidata
EN
Riemann zeta function
Wiktionary
EN
Riemann zeta function
Wikipedia Redirections
EN
critical strip, Euler-Riemann zeta function, Euler product formula, Euler zeta function, Euler–Riemann zeta function, Reimann Zeta function, Reimann zeta function, Riemann's functional equation, Riemann's zeta function, Riemann-zeta function, Riemann functional equation, Riemann z-function, Riemann zeta, Riemann zeta-function, Riemann Zeta Function, Riemann Zeta function, Riemann zeta function zeros, Riemann ζ-function, Series of reciprocal powers, trivial zero, Z(s), Ζ(s)
Wikidata Alias
EN
Euler–Riemann zeta function

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