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Computation of the Mordell-Tornheim zeta values

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Publication:3518226
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DOI10.1090/S0002-9939-08-09350-7zbMath1204.11146MaRDI QIDQ3518226

Aleksandar Petojević, Hari M. Srivastava

Publication date: 7 August 2008

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


zbMATH Keywords

gamma functionRiemann zeta functionrecursion formulasintegral representationspolygamma functionsStirling numbers of the first kindmonotone convergence theoremMordell-Tornheim zeta values


Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) (zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) Other Dirichlet series and zeta functions (11M41) Other functions defined by series and integrals (33E20) Multiple Dirichlet series and zeta functions and multizeta values (11M32)


Related Items

Generalized log sine integrals and the Mordell-Tornheim zeta values



Cites Work

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  • Explicit evaluation of Euler and related sums
  • On some infinite series of L. J. Mordell and their analogues
  • Multiple harmonic series
  • Triple sums and the Riemann zeta function
  • Multiple zeta values at non-positive integers
  • On the Evaluation of Some Multiple Series
  • On Mordell-Tornheim zeta values
  • Harmonic Double Series
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