arXiv Open Access 2026

Algebraic and Arithmetic Attributes of Hypergeometric Functions in SageMath

Xavier Caruso Florian Fürnsinn

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Abstrak

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.

Topik & Kata Kunci

cs.SC math.NT

Penulis (2)

Xavier Caruso

Florian Fürnsinn

Format Sitasi

APA MLA BibTeX

Caruso, X., Fürnsinn, F. (2026). Algebraic and Arithmetic Attributes of Hypergeometric Functions in SageMath. https://arxiv.org/abs/2602.04531

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2026
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓