Identities involving trigonometric functions and Bernoulli numbers

DOI10.1016/j.amc.2018.04.015zbMath1427.11025OpenAlexW2802382390MaRDI QIDQ2335534

Xin Lin, Wen Peng Zhang

Publication date: 14 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.04.015

zbMATH Keywords

Bernoulli numbersidentityDirichlet \(L\)-functionstrigonometric sumscomputational formula

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) (zeta (s)) and (L(s, chi)) (11M06)

Related Items

On type 2 degenerate Bernoulli and Euler polynomials of complex variable, Generalized Bernoulli numbers, cotangent power sums, and higher-order arctangent numbers, Evaluations of a weighted average of Gauss sums, Several expressions of Dirichlet \(L\)-function at positive integers, Explicit expressions for finite trigonometric sums, Degenerate binomial coefficients and degenerate hypergeometric functions, Degenerate polyexponential functions and degenerate Bell polynomials, On the mean square value of the Dirichlet L-function at positive integers, A twisted generalization of the classical Dedekind sum

Cites Work

• On the mean values of Dedekind sums
• An exact formula for an average of L-series
• TWISTED QUADRATIC MOMENTS FOR DIRICHLET L-FUNCTIONS
• A twisted quadratic moment for Dirichlet $L$-functions
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