Computation and structure of character polylogarithms with applications to character Mordell–Tornheim–Witten sums

DOI10.1090/mcom/2974zbMath1331.11065OpenAlexW2219712879MaRDI QIDQ3450039

David H. Bailey, Jonathan M. Borwein

Publication date: 2 November 2015

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/mcom/2974

zbMATH Keywords

polylogarithmsMordell-Tornheim-Witten sums

Mathematics Subject Classification ID

Estimates on character sums (11L40) Numerical approximation and evaluation of special functions (33F05)

Related Items (11)

Integrals of inverse trigonometric and polylogarithmic functions ⋮ Highest cusped waves for the Burgers-Hilbert equation ⋮ Crandall's computation of the incomplete gamma function and the Hurwitz zeta function, with applications to Dirichlet \(L\)-series ⋮ Integrals of polylogarithmic functions with negative argument ⋮ Derivatives and fast evaluation of the Tornheim zeta function ⋮ Analytic Continuations of Character and Alternating Tornheim Zeta Functions ⋮ General order Euler sums with rational argument ⋮ Computation and Experimental Evaluation of Mordell–Tornheim–Witten Sum Derivatives ⋮ Finite and symmetric Mordell-Tornheim multiple zeta values ⋮ Integrals of polylogarithmic functions with alternating argument ⋮ Computation and theory of Mordell-Tornheim-Witten sums. II.

Uses Software

• DLMF

Cites Work

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