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O que (quem) é zeta function - definição
Zeta functions; Zeta-function; Zeta function (disambiguation); Zeta function
Riemann zeta function
ANALYTIC FUNCTION
Riemann Zeta function; Riemann zeta-function; Reimann Zeta function; Riemann's zeta function; Riemann Zeta Function; Reimann zeta function; Riemann ζ-function; Euler zeta function; Riemann zeta; Riemann zeta function zeros; Critical strip; Trivial zero; Ζ(s); Z(s); Riemann z-function; Series of reciprocal powers; Euler-Riemann zeta function; Riemann functional equation; Riemann's functional equation; Riemann-zeta function; Euler–Riemann zeta function; Ζ(x)
The Riemann zeta function or Euler–Riemann zeta function, denoted by the Greek letter (zeta), is a mathematical function of a complex variable defined as \zeta(s) = \sum_{n=1}^\infty \frac{1}{n^s} = \frac{1}{1^s} + \frac{1}{2^s} + \frac{1}{3^s} + \cdots for \operatorname{Re}(s) > 1 and its analytic continuation elsewhere.
List of zeta functions
In mathematics, a zeta function is (usually) a function analogous to the original example, the Riemann zeta function
Local zeta function
FUNCTION WHOSE LOGARITHMIC DERIVATIVE IS A GENERATING FUNCTION FOR THE NUMBER OF SOLUTIONS OF A SET OF EQUATIONS DEFINED OVER A FINITE FIELD
Riemann hypothesis for curves over finite fields; Local zeta-function
In number theory, the local zeta function (sometimes called the congruent zeta function or the Hasse–Weil zeta function) is defined as
Wikipédia
List of zeta functions
In mathematics, a zeta function is (usually) a function analogous to the original example, the Riemann zeta function
Zeta functions include:
- Airy zeta function, related to the zeros of the Airy function
- Arakawa–Kaneko zeta function
- Arithmetic zeta function
- Artin–Mazur zeta function of a dynamical system
- Barnes zeta function or double zeta function
- Beurling zeta function of Beurling generalized primes
- Dedekind zeta function of a number field
- Duursma zeta function of error-correcting codes
- Epstein zeta function of a quadratic form
- Goss zeta function of a function field
- Hasse–Weil zeta function of a variety
- Height zeta function of a variety
- Hurwitz zeta function, a generalization of the Riemann zeta function
- Igusa zeta function
- Ihara zeta function of a graph
- L-function, a "twisted" zeta function
- Lefschetz zeta function of a morphism
- Lerch zeta function, a generalization of the Riemann zeta function
- Local zeta function of a characteristic-p variety
- Matsumoto zeta function
- Minakshisundaram–Pleijel zeta function of a Laplacian
- Motivic zeta function of a motive
- Multiple zeta function, or Mordell–Tornheim zeta function of several variables
- p-adic zeta function of a p-adic number
- Prime zeta function, like the Riemann zeta function, but only summed over primes
- Riemann zeta function, the archetypal example
- Ruelle zeta function
- Selberg zeta function of a Riemann surface
- Shimizu L-function
- Shintani zeta function
- Subgroup zeta function
- Witten zeta function of a Lie group
- Zeta function of an incidence algebra, a function that maps every interval of a poset to the constant value 1. Despite not resembling a holomorphic function, the special case for the poset of integer divisibility is related as a formal Dirichlet series to the Riemann zeta function.
- Zeta function of an operator or spectral zeta function
