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

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

1998-01-26

arxiv.org/abs/hep-th/9801168v1

J.Comput.Appl.Math. 98 (1998) 245-271

Physics

High Energy Physics

High Energy Physics - Theory

AMS-LaTeX v1.2, 24 pages

Scientific paper

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.

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