5 papers · 1 filter
Symbolic Integration in Weierstrass-like Extensions
Shaoshi Chen, Manuel Kauers, Wenqiao Li +2
This paper studies the integration problem in differential fields that may involve quantities reminiscent of the Weierstrass function, which are defined by a first-order nonl…
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…
Creative Telescoping
Shaoshi Chen, Manuel Kauers, Christoph Koutschan
These notes on creative telescoping are based on a series of lectures at the Institut Henri Poincare in November and December 2023.
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…
Flip Graphs for Polynomial Multiplication
Shaoshi Chen, Manuel Kauers
Flip graphs were recently introduced in order to discover new matrix multiplication methods for matrix sizes. The technique applies to other tensors as well. In this paper, we expl…