Artigo Acesso aberto Revisado por pares

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

ISSN

2118-8572

Autores

Yuri Valentinovich Nesterenko,

Tópico(s)

Advanced Mathematical Identities

Resumo

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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