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

1998/01/26 by Odd Magne Ogreid, Per Osland
Physics and Astronomy · #hep-th #hep-ph

paper · pdf

published as J.Comput.Appl.Math. 98 (1998) 245-271 · AMS-LaTeX v1.2, 24 pages

arxiv created 1998/01/26 · arxiv updated 2009/11/30

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 Cl2(pi/3) where Cl2(theta) is Clausen's function.

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