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1998 Euler sums and contour integral representations
Philippe Flajolet, Bruno Salvy
Experiment. Math. 7(1): 15-35 (1998).


This paper develops an approach to the evaluation of Euler sums that involve harmonic numbers, either linearly or nonlinearly. We give explicit formulæ for several classes of Euler sums in terms of Riemann zeta values. The approach is based on simple contour integral representations and residue computations.


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Philippe Flajolet. Bruno Salvy. "Euler sums and contour integral representations." Experiment. Math. 7 (1) 15 - 35, 1998.


Published: 1998
First available in Project Euclid: 14 March 2003

zbMATH: 0920.11061
MathSciNet: MR1618286

Primary: 11M41
Secondary: 11Y60

Rights: Copyright © 1998 A K Peters, Ltd.

Vol.7 • No. 1 • 1998
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