Euler Sums and Contour Integral Representations

Euler Sums and Contour Integral Representations

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 co...

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 ...

Integral Representations of Harmonic Lattice Sums

Contour Integral Representations for the Characters of Logarithmic CFTs

We propose a contour integral representation for the one-point correlators at genus one of the primaries of a family of rational logarithmic conformal field theories. Report No: HRI-P-08-10-001 ∗On leave of absence from the Harish-Chandra Research Institute, Allahabad, India. 1

Evaluation of Euler-zagier Sums

We present a simple method for evaluation of multiple Euler sums in terms of single and double zeta values. 2000 Mathematics Subject Classification. 11M99, 40B05.