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arxiv: hep-ph/0602078 · v1 · submitted 2006-02-09 · ✦ hep-ph · hep-th

An Algorithm to Construct Groebner Bases for Solving Integration by Parts Relations

classification ✦ hep-ph hep-th
keywords algorithmbasesassociatedbuchbergercalculatingcasescomplicatedconstruct
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This paper is a detailed description of an algorithm based on a generalized Buchberger algorithm for constructing Groebner-type bases associated with polynomials of shift operators. The algorithm is used for calculating Feynman integrals and has proven itself efficient in several complicated cases.

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