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cs.SC2026
On the Summability Problem of Multivariate Rational Functions in the Mixed Case
Shaoshi Chen, Lixin Du, Hanqian Fang +1
Continuing previous work, this paper focuses on the summability problem of multivariate rational functions in the mixed case in which both shift and -shift operators can appear.…
cs.SC2025
Non-minimality of minimal telescopers explained by residues
Shaoshi Chen, Manuel Kauers, Christoph Koutschan +3
Elaborating on an approach recently proposed by Mark van Hoeij, we continue to investigate why creative telescoping occasionally fails to find the minimal-order annihilating operat…
cs.SC2024
How to generate all possible rational Wilf-Zeilberger forms?
Shaoshi Chen, Christoph Koutschan, Yisen Wang
Wilf-Zeilberger pairs are fundamental in the algorithmic theory of Wilf and Zeilberger for computer-generated proofs of combinatorial identities. Wilf-Zeilberger forms are their hi…