The Lerch zeta function II. Analytic continuation

DOI10.1515/form.2011.048zbMath1253.11086arXiv1005.4967OpenAlexW2951143256MaRDI QIDQ2882746

Jeffrey C. Lagarias, Wen-Ch'ing Winnie Li

Publication date: 7 May 2012

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.4967

zbMATH Keywords

Hurwitz zeta functionpolylogarithmLerch zeta function

Mathematics Subject Classification ID

Hurwitz and Lerch zeta functions (11M35) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (12)

The Lerch zeta function. III: Polylogarithms and special values ⋮ Bose-Einstein condensation for an exponential density of states function and Lerch zeta function ⋮ The Lerch zeta function. IV: Hecke operators ⋮ Evaluation of integrals with hypergeometric and logarithmic functions ⋮ Riemann surface of the Riemann zeta function ⋮ The joint universality of Dirichlet \(L\)-functions and Lerch zeta-functions ⋮ Fractional differential relations for the Lerch zeta function ⋮ Crandall's computation of the incomplete gamma function and the Hurwitz zeta function, with applications to Dirichlet \(L\)-series ⋮ Holomorphic Automorphic Forms and Cohomology ⋮ Symmetry of zeros of Lerch zeta-function for equal parameters ⋮ Functional equations for double series of Euler type with coefficients ⋮ The Lerch zeta function as a fractional derivative

Cites Work

• On the Hurwitz-Lerch zeta-function.

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