New properties of the Lerch's transcendent

DOI10.1016/J.JNT.2016.08.013zbMath1390.11102arXiv1601.02094OpenAlexW2235983944MaRDI QIDQ344115

Javier Sesma, Anderson K. Kohara, Erasmo M. Ferreira

Publication date: 22 November 2016

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

Full work available at URL: https://arxiv.org/abs/1601.02094

zbMATH Keywords

Hurwitz zeta functionpolylogarithmsLerch's transcendent

Mathematics Subject Classification ID

Hurwitz and Lerch zeta functions (11M35) Asymptotic representations in the complex plane (30E15)

Related Items (5)

Reflection properties of zeta related functions in terms of fractional derivatives ⋮ Twisted logarithmic modules of lattice vertex algebras ⋮ Evaluations of a weighted average of Gauss sums ⋮ Several expressions of Dirichlet \(L\)-function at positive integers ⋮ Amplitudes in fishnet theories in diverse dimensions and box ladder diagrams

Uses Software

• DLMF

Cites Work

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• The Lerch zeta function. III: Polylogarithms and special values
• Asymptotic behavior of the Lerch transcendent function
• Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent
• Asymptotic expansions of the Hurwitz--Lerch zeta function
• Representation of integral dispersion relations by local forms
• Values of the Legendre chi and Hurwitz zeta functions at rational arguments
• Two-point derivative dispersion relations

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