Euler Sums and Contour Integral Representations
- 1 January 1998
- journal article
- research article
- Published by Taylor & Francis in Experimental Mathematics
- Vol. 7 (1) , 15-35
- https://doi.org/10.1080/10586458.1998.10504356
Abstract
This paper develops an approach to the evaluation of Euler sums that involve harmonic numbers, either linearly or nonlinearly. We give explicit formulee for several classes of Euler sums in terms of Riemann zeta values. The approach is based on simple contour integral representations and residue computations.Keywords
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