Hypergeometric series and the Riemann zeta function

Wenchang Chu

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Displaying similar documents to “Hypergeometric series and the Riemann zeta function”

A summation theorem for double hypergeometric series

L. Carlitz (1967)

Rendiconti del Seminario Matematico della Università di Padova

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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.