Algebraic and Arithmetic Attributes of Hypergeometric Functions in SageMath
Symbolic Computation
2026-02-05 v1 Number Theory
Abstract
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.
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Cite
@article{arxiv.2602.04531,
title = {Algebraic and Arithmetic Attributes of Hypergeometric Functions in SageMath},
author = {Xavier Caruso and Florian Fürnsinn},
journal= {arXiv preprint arXiv:2602.04531},
year = {2026}
}
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4 pages