analytic function

  • 71L-function — The theory of L functions has become a very substantial, and still largely conjectural, part of contemporary number theory. In it, broad generalisations of the Riemann zeta function and the L series for a Dirichlet character are constructed, and… …

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  • 72Linear function — In mathematics, the term linear function can refer to either of two different but related concepts.Analytic geometryIn analytic geometry, the term linear function is sometimes used to mean a first degree polynomial function of one variable. These …

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  • 73Abstract analytic number theory — is a branch of mathematics which takes the ideas and techniques of classical analytic number theory and applies them to a variety of different mathematical fields. The classical prime number theorem serves as a prototypical example, and the… …

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  • 74Multiple zeta function — For a different but related multiple zeta function, see Barnes zeta function. In mathematics, the multiple zeta functions generalisations of the Riemann zeta function, defined by and converge when Re(s1)+...+Re(si) > i for all i.… …

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  • 75Wright Omega function — In mathematics, the Wright omega function, denoted ω, is defined in terms of the Lambert W function as:: omega(z) = W {ig lceil frac{mathrm{Im}(z) pi}{2 pi} ig ceil}(e^z).UsesOne of the main applications of this function is in the resolution of …

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  • 76Beta function — This article is about Euler beta function. For other uses, see Beta function (disambiguation). In mathematics, the beta function, also called the Euler integral of the first kind, is a special function defined by for The beta function was studied …

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  • 77Computable function — Total recursive function redirects here. For other uses of the term recursive function , see Recursive function (disambiguation). Computable functions are the basic objects of study in computability theory. Computable functions are the formalized …

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  • 78Möbius function — This article is about the number theoretic Möbius function. For the combinatorial Möbius function, see incidence algebra. For the rational functions defined on the complex numbers, see Möbius transformation. The classical Möbius function μ(n) is… …

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  • 79Meromorphic function — In complex analysis, a meromorphic function on an open subset D of the complex plane is a function that is holomorphic on all D except a set of isolated points, which are poles for the function. (The terminology comes from the Ancient Greek meros …

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  • 80Divisor function — σ0(n) up to n = 250 Sigma function σ …

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