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Article
Report number	math-ph/0508008 ; CERN-PH-TH-2005-124 ; DESY-05-104 ; DESY-2005-104 ; SFB-CPP-2005-24
Title	XSummer : transcendental functions and symbolic summation in form
Author(s)	Moch, S (DESY) ; Uwer, Peter (CERN)
Affiliation	(CERN)
Publication	2006
Imprint	2 Aug 2005
Number of pages	21
In:	Comput. Phys. Commun. 174 (2006) 759-770
DOI	10.1016/j.cpc.2005.12.014
Subject category	Mathematical Physics and Mathematics
Abstract	Harmonic sums and their generalizations are extremely useful in the evaluation of higher-order perturbative corrections in quantum field theory. Of particular interest have been the so-called nested sums,where the harmonic sums and their generalizations appear as building blocks, originating for example from the expansion of generalized hypergeometric functions around integer values of the parameters. In this Letter we discuss the implementation of several algorithms to solve these sums by algebraic means, using the computer algebra system Form.

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