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arXiv · 1706.09134

Bivariate Extensions of Abramov's Algorithm for Rational Summation

Shaoshi Chen
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Abstract

Abramov's algorithm enables us to decide whether a univariate rational function can be written as a difference of another rational function, which has been a fundamental algorithm for rational summation. In 2014, Chen and Singer generalized Abramov's algorithm to the case of rational functions in two ($q$-)discrete variables. In this paper we solve the remaining three mixed cases, which completes our recent project on bivariate extensions of Abramov's algorithm for rational summation.

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Shaoshi Chen. 2017-06-28. Bivariate Extensions of Abramov's Algorithm for Rational Summation. https://arxiv.org/abs/1706.09134

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