On evaluations of infinite double sums and Tornheim's double series.
Kuba, Markus (2007)
Séminaire Lotharingien de Combinatoire [electronic only]
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Displaying similar documents to “Computer-free evaluation of an infinite double sum via Euler sums.”
On evaluations of infinite double sums and Tornheim's double series.
Combinatorial relations for Euler-Zagier sums
Hirofumi Tsumura (2004)
Acta Arithmetica
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On the evaluation of Euler sums.
Crandall, Richard E., Buhler, Joe P. (1994)
Experimental Mathematics
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Consecutive evaluation of Euler sums.
Boyadzhiev, Khristo N. (2002)
International Journal of Mathematics and Mathematical Sciences
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Explicit evaluations of quadruple Euler sums
Yao Lin Ong, Minking Eie, Chuan-Sheng Wei (2010)
Acta Arithmetica
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Experimental evaluation of Euler sums.
Bailey, David H., Borwein, Jonathan M., Girgensohn, Roland (1994)
Experimental Mathematics
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On multiple analogues of Ramanujan’s formulas for certain Dirichlet series
Hirofumi Tsumura (2008)
Journal de Théorie des Nombres de Bordeaux
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In this paper, we prove multiple analogues of famous Ramanujan’s formulas for certain Dirichlet series which were introduced in his well-known notebooks. Furthermore, we prove some multiple versions of analogous formulas of Ramanujan which were given by Berndt and so on.
An application of Mellin-Barnes' type integrals to the mean square of Lerch zeta-functions.
Masanori Katsurada (1997)
Collectanea Mathematica
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We shall establish full asymptotic expansions for the mean squares of Lerch zeta-functions, based on F. V. Atkinson's device. Mellin-Barnes' type integral expression for an infinite double sum will play a central role in the derivation of our main formulae.
A -analog of Euler's decomposition formula for the double zeta function.
Bradley, David M. (2005)
International Journal of Mathematics and Mathematical Sciences
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Hypergeometric series associated with the Hurwitz-Lerch zeta function.
Bin-Saad, M.G. (2009)
Acta Mathematica Universitatis Comenianae. New Series
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Central binomial sums, multiple Clausen values, and zeta values.
Borwein, Jonathan Michael, Broadhurst, David J., Kamnitzer, Joel (2001)
Experimental Mathematics
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