On Mordell-Tornheim zeta values

DOI10.1090/S0002-9939-05-08132-3zbMath1059.40003MaRDI QIDQ4671877

Hirofumi Tsumura

Publication date: 27 April 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Convergence and divergence of series and sequences (40A05) Other functions defined by series and integrals (33E20) Multiple sequences and series (40B05) Series expansions of functions of one complex variable (30B99)

Related Items (14)

Computation and structure of character polylogarithms with applications to character Mordell–Tornheim–Witten sums ⋮ Truncated \(t\)-adic symmetric multiple zeta values and double shuffle relations ⋮ ON THE PARITY RESULT FOR MULTIPLE DIRICHLET SERIES ⋮ On sum formulas for Mordell-Tornheim zeta values ⋮ Functional relations and special values of Mordell-Tornheim triple zeta and 𝐿-functions ⋮ Computation of the Mordell-Tornheim zeta values ⋮ Multiple harmonic series related to multiple Euler numbers ⋮ Finite Mordell-Tornheim multiple zeta values ⋮ Evaluation of Tornheim's type of double series ⋮ Computation and theory of extended Mordell-Tornheim-Witten sums ⋮ Generalized log sine integrals and the Mordell-Tornheim zeta values ⋮ Finite and symmetric Mordell-Tornheim multiple zeta values ⋮ Nonrelativistic CFTs at large charge: Casimir energy and logarithmic enhancements ⋮ Computation and theory of Mordell-Tornheim-Witten sums. II.

Cites Work

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• On some infinite series of L. J. Mordell and their analogues
• Multiple harmonic series
• On the Evaluation of Some Multiple Series
• Combinatorial relations for Euler–Zagier sums
• On Tornheim's double series
• Derivation and double shuffle relations for multiple zeta values
• Harmonic Double Series

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