Algebraic and Arithmetic Attributes of Hypergeometric Functions in SageMath
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914305501298688 |
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| author | Caruso, Xavier Fürnsinn, Florian |
| author_facet | Caruso, Xavier Fürnsinn, Florian |
| contents | We report on implementations for algorithms treating algebraic and arithmetic properties of hypergeometric functions in the computer algebra system SageMath. We treat hypergeometric series over the rational numbers, over finite fields, and over the p-adics. Among other things, we provide implementations deciding algebraicity, computing valuations, and computing minimal polynomials in positive characteristic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_04531 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Algebraic and Arithmetic Attributes of Hypergeometric Functions in SageMath Caruso, Xavier Fürnsinn, Florian Symbolic Computation Number Theory We report on implementations for algorithms treating algebraic and arithmetic properties of hypergeometric functions in the computer algebra system SageMath. We treat hypergeometric series over the rational numbers, over finite fields, and over the p-adics. Among other things, we provide implementations deciding algebraicity, computing valuations, and computing minimal polynomials in positive characteristic. |
| title | Algebraic and Arithmetic Attributes of Hypergeometric Functions in SageMath |
| topic | Symbolic Computation Number Theory |
| url | https://arxiv.org/abs/2602.04531 |