Euler Sums and Contour Integral Representations
نویسندگان
چکیده
Work supported in part by the Long Term Research Project Alcom-IT (# 20244) of the European Union. 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.
منابع مشابه
Euler Sums and Contour Integral Representationsphilippe Flajolet
This paper develops an approach to the evaluation of Euler sums involving harmonic numbers either linearly or nonlinearly. We give explicit formull 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 ...
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ورودعنوان ژورنال:
- Experimental Mathematics
دوره 7 شماره
صفحات -
تاریخ انتشار 1998