Integral identities and constructions of approximations to zeta-values

  title={Integral identities and constructions of approximations to zeta-values},
  author={Yu. V. Nesterenko},
  journal={Journal de Theorie des Nombres de Bordeaux},
  • Y. Nesterenko
  • Published 2003
  • Mathematics
  • Journal de Theorie des Nombres de Bordeaux
Nous presentons une construction generale de combinaisons lineaires a coefficients rationnels en les valeurs de la fonction zeta de Riemann aux entiers. Ces formes lineaires sont exprimees en termes d'integrales complexes, dites de Barnes, ce qui permet de les estimer. Nous montrons quelques identites reliant ces integrales a des integrales multiples sur le cube unite reel. 
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