Computer Algebra and Applications Seminar, Summer Semester 2025 Title: Non-minimality of minimal telescopers explained by residues Speaker: Prof. Shaoshi Chen, KLMM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing (China) Time and Location: Wed, April 23, 2025, 2 p.m.; RISC Seminarroom, Castle of Hagenberg Abstract: 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.