Non-minimality of minimal telescopers explained by residues

Speaker: Shaoshi Chen (KLMM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing (China))

Date: 23/04/2025
Time: 14:00 - 16:00

Location: RISC, Seminarroom, Castle of Hagenberg

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 operator of a given definite sum or integral. We offer an explanation based on the consideration of residues. This is a joint work with Manuel Kauers, Christoph Koutschan, Xiuyun Li, Rong-hua Wang and Yisen Wang.