3 papers
cs.SC2026
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…
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…
math.CO2024
Parallel Summation in P-Recursive Extensions
Shaoshi Chen, Ruyong Feng, Manuel Kauers +1
We propose investigating a summation analog of the paradigm for parallel integration. We make some first steps towards an indefinite summation method applicable to summands that ra…