2 papers
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 pa…
math.NT2025
Galois groups of reductions modulo p of D-finite series
Xavier Caruso, Florian Fürnsinn, Daniel Vargas-Montoya
The aim of this paper is to investigate the algebraicity behavior of reductions of -finite power series modulo prime numbers. For many classes of D-finite functions, such as dia…