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XSummer

swMATH ID: 6109
Software Authors: Moch, S.; Uwer, P.
Description: XSummer - transcendental functions and symbolic summation in form. 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 paper we discuss the implementation of several algorithms to solve these sums by algebraic means, using the computer algebra system Form.
Homepage: http://cpc.cs.qub.ac.uk/summaries/ADXQ_v1_0.html
Programming Languages: Form (http://www.nikhef.nl/~form/).
Operating Systems: all.
Keywords: symbolic summation; multiple polylogarithms; transcendental functions
Related Software: Nestedsums; FORM; Hypexp; AMBRE; HarmonicSums; Axodraw; FIESTA; PolyLogTools; MBresolve; MBasymptotics; Reduze; HYPERDIRE; Mathematica; HPL; Maple; GiNaC; JaxoDraw; MBsums; CHAPLIN; Mincer
Cited in: 30 Publications

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
XSummer – transcendental functions and symbolic summation in form. Zbl 1196.68332
Moch, S.; Uwer, P.
2006

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