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Reports (Research Report) Year : 1996

Euler Sums and Contour Integral Representations

Philippe Flajolet
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  • PersonId : 829512
Bruno Salvy


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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Dates and versions

inria-00073780 , version 1 (24-05-2006)


  • HAL Id : inria-00073780 , version 1


Philippe Flajolet, Bruno Salvy. Euler Sums and Contour Integral Representations. [Research Report] RR-2917, INRIA. 1996. ⟨inria-00073780⟩
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