On evaluations of infinite double sums and Tornheim's double series.

Kuba, Markus

Displaying similar documents to “On evaluations of infinite double sums and Tornheim's double series.”

Hypergeometric series associated with the Hurwitz-Lerch zeta function.

Bin-Saad, M.G. (2009)

Acta Mathematica Universitatis Comenianae. New Series

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On hypergeometric-type generating relations associated with the generalized zeta function.

Bin-Saad, M.G., Al-Gonah, A.A. (2006)

Acta Mathematica Universitatis Comenianae. New Series

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Relations between the reciprocal sum and the alternating sum for generalized Lucas numbers.

Ye, Xiaoli, Zhang, Zhizheng (2007)

Acta Mathematica Universitatis Comenianae. New Series

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Hypergeometric series and the Riemann zeta function

Wenchang Chu (1997)

Acta Arithmetica

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Integral identities and constructions of approximations to zeta-values

Yuri V. Nesterenko (2003)

Journal de théorie des nombres de Bordeaux

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Some general construction of linear forms with rational coefficients in values of Riemann zeta-function at integer points is presented. These linear forms are expressed in terms of complex integrals of Barnes type that allows to estimate them. Some identity connecting these integrals and multiple integrals on the real unit cube is proved.

The determinant of the Laplacian on the n-sphere

H. Kumagai (1999)

Acta Arithmetica

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Certain classes of multiple generating functions for some sets of polynomials in several variables

M. A. Pathan, B. B. Jaimini, Shiksha Gautam (2011)

Matematički Vesnik

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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.

On estimating integral moduli of continuity of functions of several variables in terms of Fourier coefficients.

Gogoladze, L. (1999)

Georgian Mathematical Journal

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