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

A. V. Smirnov
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Abstract

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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A. V. Smirnov. 2006-02-09. An Algorithm to Construct Groebner Bases for Solving Integration by Parts Relations. https://doi.org/10.1088/1126-6708%2F2006%2F04%2F026

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