3 papers
math.NT2026
Algorithms for Algebraic and Arithmetic Attributes of Hypergeometric Functions
Xavier Caruso, Florian Fürnsinn
We discuss algorithms for arithmetic properties of hypergeometric functions. Most notably, we are able to compute the p-adic valuation of a hypergeometric function on any disk of r…
cs.SC2026
Algebraic and Arithmetic Attributes of Hypergeometric Functions in SageMath
Xavier Caruso, Florian Fürnsinn
We report on implementations for algorithms treating algebraic and arithmetic properties of hypergeometric functions in the computer algebra system SageMath. We treat hypergeometri…
math.NT2025
Galois Groups of Apéry-like Series Modulo Primes
Xavier Caruso, Florian Fürnsinn, Daniel Vargas-Montoya +1
We compute the Galois groups of the reductions modulo the prime numbers of the generating series of Apéry numbers, Domb numbers and Almkvist--Zudilin numbers. We observe in par…