Summing one- and two-dimensional series related to the Euler series
High Energy Physics - Theory
2007-05-23 v1 High Energy Physics - Phenomenology
Abstract
We present results for some infinite series appearing in Feynman diagram calculations, many of which are similar to the Euler series. These include both one-dimensional and two-dimensional series. Most of these series can be expressed in terms of zeta(2), zeta(3), the Catalan constant G and Cl{2}(pi/3) where Cl{2}(theta) is Clausen's function.
Keywords
Cite
@article{arxiv.hep-th/9801168,
title = {Summing one- and two-dimensional series related to the Euler series},
author = {Odd Magne Ogreid and Per Osland},
journal= {arXiv preprint arXiv:hep-th/9801168},
year = {2007}
}
Comments
AMS-LaTeX v1.2, 24 pages