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Mordell-Tornheim multiple zeta values at non-positive integers

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Publication:386493
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DOI10.1007/s11139-012-9441-3zbMath1356.11057OpenAlexW1964677344MaRDI QIDQ386493

Kazuhiro Onodera

Publication date: 9 December 2013

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-012-9441-3


zbMATH Keywords

zeta functionBernoulli numbermultiple zeta value


Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Multiple sequences and series (40B05) Multiple Dirichlet series and zeta functions and multizeta values (11M32)


Related Items

Identities for Bernoulli polynomials related to multiple Tornheim zeta functions ⋮ On multiple Hurwitz zeta function of Mordell–Tornheim type ⋮ Derivatives and fast evaluation of the Tornheim zeta function ⋮ On generalized Mordell-Tornheim zeta functions ⋮ Rapidly convergent series representations of symmetric Tornheim double zeta functions



Cites Work

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  • Zeros of Witten zeta functions and absolute limit
  • An integral representation of the Mordell-Tornheim double zeta function and its values at non-positive integers
  • AN INTEGRAL REPRESENTATION OF MULTIPLE HURWITZ-LERCH ZETA FUNCTIONS AND GENERALIZED MULTIPLE BERNOULLI NUMBERS
  • Convolution formulae for Bernoulli numbers
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