On the Summability Problem of Multivariate Rational Functions in the Mixed Case
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866917244492054528 |
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| author | Chen, Shaoshi Du, Lixin Fang, Hanqian Wang, Yisen |
| author_facet | Chen, Shaoshi Du, Lixin Fang, Hanqian Wang, Yisen |
| contents | Continuing previous work, this paper focuses on the summability problem of multivariate rational functions in the mixed case in which both shift and $q$-shift operators can appear. Our summability criteria rely on three ingredients including orbital decompositions, Sato's isotropy groups, and difference transformations. This work settles the rational case of the long-term project aimed at developing algorithms for symbolic summation of multivariate functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_03289 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Summability Problem of Multivariate Rational Functions in the Mixed Case Chen, Shaoshi Du, Lixin Fang, Hanqian Wang, Yisen Symbolic Computation Continuing previous work, this paper focuses on the summability problem of multivariate rational functions in the mixed case in which both shift and $q$-shift operators can appear. Our summability criteria rely on three ingredients including orbital decompositions, Sato's isotropy groups, and difference transformations. This work settles the rational case of the long-term project aimed at developing algorithms for symbolic summation of multivariate functions. |
| title | On the Summability Problem of Multivariate Rational Functions in the Mixed Case |
| topic | Symbolic Computation |
| url | https://arxiv.org/abs/2602.03289 |