Euler Sums and Contour Integral Representations

Philippe Flajolet 1 Bruno Salvy 1
1 ALGO - Algorithms
Inria Paris-Rocquencourt
Abstract : This paper develops an approach to the evaluation of Euler sums involving harmonic numbers either linearly or nonlinearly. We give explicit formul{æ} 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.
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https://hal.inria.fr/inria-00073780
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Submitted on : Wednesday, May 24, 2006 - 1:44:42 PM
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Philippe Flajolet, Bruno Salvy. Euler Sums and Contour Integral Representations. [Research Report] RR-2917, INRIA. 1996. ⟨inria-00073780⟩

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