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Non-minimality of minimal telescopers explained by residues

Symbolic Computation 2025-05-02 v3

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.

Keywords

Cite

@article{arxiv.2502.03757,
  title  = {Non-minimality of minimal telescopers explained by residues},
  author = {Shaoshi Chen and Manuel Kauers and Christoph Koutschan and Xiuyun Li and Rong-Hua Wang and Yisen Wang},
  journal= {arXiv preprint arXiv:2502.03757},
  year   = {2025}
}

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21 pages