Automatically assigned DDC number: 515243

Manually assigned DDC number: 515243

Title: Euler Sums and Contour Integral Representations

Author:

Subject: Bruno Salvy Euler Sums and Contour Integral Representations

Description: This paper develops an approach to the evaluation of Euler sums involving harmonic numbers either linearly or nonlinearly. We give explicit formulae for certain classes of Euler sums in terms of values of the Riemann zeta function at positive integers. The approach is based on simple contour integral representations and residue computations. Sommes d'Euler et repr'esentations int'egrales R'esum'e Cet article d'eveloppe une approche `a l"evaluation de sommes d'Euler qui font intervenir des nombres harmoniques lin'eairement ou polynomialement. Nous donnons des formules explicites pour certaines classes de sommes d'Euler en termes de valeurs de la fonction Zeta de Riemann `a des entiers positifs. Cette approche est fond'ee sur des repr'esentations int'egrales et des calculs de r'esidus. EULER SUMS AND CONTOUR INTEGRAL REPRESENTATIONS PHILIPPE FLAJOLET AND BRUNO SALVY June 18, 1996 Abstract. This paper develops an approach to the evaluation of Euler sums involving harmonic numbers eith...

Contributor: The Pennsylvania State University CiteSeer Archives

Publisher: unknown

Date: 1996-06-19

Pubyear: 1998

Format: ps

Identifier: http://citeseer.ist.psu.edu/140093.html

Source: ftp://ftp.inria.fr/INRIA/publication/publi-ps-gz/RR/RR-2917.ps.gz

Language: en

Rights: unrestricted