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An Algorithm to construct Grobner bases for solving integration by parts relations

A.V. Smirnov
(
- Moscow, Computing Ctr.
)

Feb, 2006

10 pages

Published in:

JHEP 04 (2006) 026

e-Print:

hep-ph/0602078 [hep-ph]

DOI:

10.1088/1126-6708/2006/04/026

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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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