Dirichlet L-functions and character power sums

DOI10.1016/0022-314X(70)90022-3zbMath0198.37502MaRDI QIDQ2540044

Tom M. Apostol

Publication date: 1970

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

quadratic characterprimitive charactersnew proof of functional equation for \(L\)-functionsrepresentation for Dirichlet \(L\)-functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Estimates on character sums (11L40)

Related Items (18)

Computation and structure of character polylogarithms with applications to character Mordell–Tornheim–Witten sums ⋮ Inversion formulas for Dirichlet series ⋮ A Generalization of A Theorem of Ayoub and Chowla ⋮ On a kind of character sums ⋮ An elementary proof of some character sum identities of Apostol ⋮ Generalized Bernoulli numbers, cotangent power sums, and higher-order arctangent numbers ⋮ Unnamed Item ⋮ The Functional Equation of Some Dirichlet Series ⋮ The Lerch zeta and related functions of non-positive integer order ⋮ Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions ⋮ Ein v. Staudt-Clausenscher Satz für periodische Bernoullizahlen. (A theorem of von Staudt-Clausen type for periodic Bernoulli numbers) ⋮ Character gamma functions and evaluation of series with Dirichlet \(L\)-value coefficients ⋮ Central Factorial Numbers and Values of Bernoulli and Euler Polynomials at Rationals ⋮ Primitive character sums and DirichletL-functions† ⋮ Closed-form formulae for the derivatives of trigonometric functions at rational multiples of \(\pi\) ⋮ Values of the derivatives of the cotangent at rational multiples of \(\pi\) ⋮ Derivative polynomials and closed-form higher derivative formulae ⋮ A twisted generalization of the classical Dedekind sum

Cites Work

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• On a function which occurs in the theory of the structure of polymers

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