On some infinite series of L. J. Mordell and their analogues

DOI10.2140/pjm.1985.119.245zbMath0573.10026OpenAlexW2008140982WikidataQ106053137 ScholiaQ106053137MaRDI QIDQ1063061

M. V. Subbarao, R. Sita Rama Chandra Rao

Publication date: 1985

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

Full work available at URL: https://doi.org/10.2140/pjm.1985.119.245

zbMATH Keywords

double seriesRiemann zeta-functionmultiple seriesreciprocity relation

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Multiple sequences and series (40B05)

Related Items

A formula of S. Ramanujan ⋮ THIRTY-TWO GOLDBACH VARIATIONS ⋮ On Witten multiple zeta-functions associated with semisimple Lie algebras. I ⋮ On functional relations for the alternating analogues of Tornheim's double zeta function ⋮ Signed $q$-analogs of Tornheim's double series ⋮ Computation of the Mordell-Tornheim zeta values ⋮ Generators for vector spaces spanned by double zeta values with even weight ⋮ Tornheim type series and nonlinear Euler sums ⋮ Evaluation of Tornheim's type of double series ⋮ Derivatives and fast evaluation of the Tornheim zeta function ⋮ On the moments of the absorption time of Kingman's coalescent ⋮ Analytic Continuations of Character and Alternating Tornheim Zeta Functions ⋮ On Mordell-Tornheim zeta values ⋮ Stirling numbers, central factorial numbers, and representations of the Riemann zeta function ⋮ On alternating analogues of Tornheim’s double series ⋮ Evaluation formulas for Tornheim’s type of alternating double series ⋮ Generalized log sine integrals and the Mordell-Tornheim zeta values ⋮ Certain functional relations for the double harmonic series related to the double Euler numbers ⋮ An integral representation of the Mordell-Tornheim double zeta function and its values at non-positive integers ⋮ On alternating analogues of Tornheim's double series. II