Journal
COMPUTER PHYSICS COMMUNICATIONS
Volume 174, Issue 9, Pages 759-770Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cpc.2005.12.014
Keywords
symbolic summation; multiple polylogarithms; transcendental functions
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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.
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