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Integral identities and constructions of approximations to zeta-values

Yuri V. Nesterenko — 2003

Journal de théorie des nombres de Bordeaux

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.

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