On Eulerian log-gamma integrals and Tornheim-Witten zeta functions
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Publication:2254859
DOI10.1007/s11139-012-9427-1zbMath1382.11068OpenAlexW2040728844WikidataQ56935457 ScholiaQ56935457MaRDI QIDQ2254859
David H. Bailey, David Borwein, Jonathan M. Borwein
Publication date: 6 February 2015
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-012-9427-1
Gamma, beta and polygamma functions (33B15) Hurwitz and Lerch zeta functions (11M35) Multiple Dirichlet series and zeta functions and multizeta values (11M32)
Related Items (10)
Computation and structure of character polylogarithms with applications to character Mordell–Tornheim–Witten sums ⋮ Modified Nörlund polynomials ⋮ Euler sums of generalized harmonic numbers and connected extensions ⋮ Zeta identities in parameter form ⋮ Nonlinear Identities for Bernoulli and Euler Polynomials ⋮ Crandall's computation of the incomplete gamma function and the Hurwitz zeta function, with applications to Dirichlet \(L\)-series ⋮ Analytic Continuations of Character and Alternating Tornheim Zeta Functions ⋮ Computation and theory of extended Mordell-Tornheim-Witten sums ⋮ Finite and symmetric Mordell-Tornheim multiple zeta values ⋮ Computation and theory of Mordell-Tornheim-Witten sums. II.
Cites Work
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- The evaluation of Tornheim double sums. I.
- The evaluation of character Euler double sums
- The evaluation of Tornheim double sums. II
- Integrals of powers of loggamma
- Hilbert's Inequality and Witten's Zeta-Function
- Special values of multiple polylogarithms
- Special values of generalized log-sine integrals
- THIRTY-TWO GOLDBACH VARIATIONS
- Computation and theory of extended Mordell-Tornheim-Witten sums
- A NEW METHOD OF PRODUCING FUNCTIONAL RELATIONS AMONG MULTIPLE ZETA-FUNCTIONS
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