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arXiv · 2502.03757

Non-minimality of minimal telescopers explained by residues

Shaoshi Chen·Manuel Kauers·Christoph Koutschan·Xiuyun Li·Rong-Hua Wang·Yisen Wang
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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.

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Shaoshi Chen, Manuel Kauers, Christoph Koutschan, Xiuyun Li, Rong-Hua Wang, Yisen Wang. 2025-02-06. Non-minimality of minimal telescopers explained by residues. https://arxiv.org/abs/2502.03757

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