@inproceedings{chen2025ISSAC, author = {Chen, Shaoshi and Kauers, Manuel and Koutschan, Christoph and Li, Xiuyun and Wang, Rong-Hua and Wang, Yisen}, title = {Non-minimality of minimal telescopers explained by residues}, year = {2025}, isbn = {9798400720758}, publisher = {Association for Computing Machinery}, address = {New York, NY, USA}, url = {https://doi.org/10.1145/3747199.3747548}, doi = {10.1145/3747199.3747548}, 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.}, booktitle = {Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation}, pages = {70–78}, numpages = {9}, keywords = {Creative telescoping, residues, symbolic integration, symbolic summation}, location = { }, series = {ISSAC '25} }