期刊
COMPUTER PHYSICS COMMUNICATIONS
卷 174, 期 9, 页码 759-770出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cpc.2005.12.014
关键词
symbolic summation; multiple polylogarithms; transcendental functions
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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