Integral identities and constructions of approximations to zeta-values
2003; Institut de Mathématiques de Bordeaux; Volume: 15; Issue: 2 Linguagem: Inglês
10.5802/jtnb.412
ISSN2118-8572
AutoresYuri Valentinovich Nesterenko,
Tópico(s)Advanced Mathematical Identities
ResumoSome 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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