Summing one- and two-dimensional series related to the Euler series

https://doi.org/10.1016/S0377-0427(98)00137-XGet rights and content
Under an Elsevier user license
open archive

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 ζ(2), ζ(3), the Catalan constant G and Cl2(π3) where Cl2(θ) is Clausen's function.

Keywords

Euler series
Hypergeometric series
Riemann zeta function
Psi function
Polylogarithms
Clausen's function

Cited by (0)

This research has been supported by the Research Council of Norway, and by DESY.