Non-minimality of minimal telescopers explained by residues
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866915267961946112 |
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| author | Chen, Shaoshi Kauers, Manuel Koutschan, Christoph Li, Xiuyun Wang, Rong-Hua Wang, Yisen |
| author_facet | Chen, Shaoshi Kauers, Manuel Koutschan, Christoph Li, Xiuyun Wang, Rong-Hua Wang, Yisen |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03757 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-minimality of minimal telescopers explained by residues Chen, Shaoshi Kauers, Manuel Koutschan, Christoph Li, Xiuyun Wang, Rong-Hua Wang, Yisen Symbolic Computation 33F10 I.1.2 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. |
| title | Non-minimality of minimal telescopers explained by residues |
| topic | Symbolic Computation 33F10 I.1.2 |
| url | https://arxiv.org/abs/2502.03757 |