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MultivariateApart: Generalized Partial Fractions

Symbolic Computation 2022-01-05 v1 High Energy Physics - Phenomenology High Energy Physics - Theory

Abstract

We present a package to perform partial fraction decompositions of multivariate rational functions. The algorithm allows to systematically avoid spurious denominator factors and is capable of producing unique results also when being applied to terms of a sum separately. The package is designed to work in Mathematica, but also provides interfaces to the Form and Singular computer algebra systems.

Keywords

Cite

@article{arxiv.2101.08283,
  title  = {MultivariateApart: Generalized Partial Fractions},
  author = {Matthias Heller and Andreas von Manteuffel},
  journal= {arXiv preprint arXiv:2101.08283},
  year   = {2022}
}

Comments

30 pages, 2 tables, code available at https://gitlab.msu.edu/vmante/multivariateapart

R2 v1 2026-06-23T22:21:53.663Z