Secant zeta functions

DOI10.1016/j.jmaa.2013.06.071zbMath1317.11093arXiv1304.3922OpenAlexW2964331774MaRDI QIDQ2258957

Matilde N. Lalín, Francis Rodrigue, Mathew D. Rogers

Publication date: 27 February 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.3922

zbMATH Keywords

Bernoulli numbersquadratic irrationalitysecant zeta function

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41)

Related Items (7)

On a secant Dirichlet series and Eichler integrals of Eisenstein series ⋮ Unnamed Item ⋮ Cotangent zeta functions in function fields ⋮ A new Ramanujan-type identity for \(L(2k+1, \chi_1)\) ⋮ Special values of trigonometric Dirichlet series and Eichler integrals ⋮ Rationality of secant zeta values ⋮ Stably stratified square cavity subjected to horizontal oscillations: responses to small amplitude forcing

Cites Work

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• Variations of the Ramanujan polynomials and remarks on \(\zeta(2j+1)/\pi^{2j+1}\)
• Unimodularity of zeros of self-inversive polynomials
• Partial fractions expansions and identities for products of Bessel functions
• Dedekind Sums and a Paper of G. H. Hardy
• New sum rule for products of Bessel functions with application to plasma physics
• Limit distribution of the coefficients of polynomials with only unit roots
• Rational approximations to algebraic numbers

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