Galois Groups of Apéry-like Series Modulo Primes

Fuente: arXiv
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Autori principali: Caruso, Xavier, Fürnsinn, Florian, Vargas-Montoya, Daniel, Zudilin, Wadim
Natura: Preprint
Pubblicazione: 2025
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author Caruso, Xavier
Fürnsinn, Florian
Vargas-Montoya, Daniel
Zudilin, Wadim
author_facet Caruso, Xavier
Fürnsinn, Florian
Vargas-Montoya, Daniel
Zudilin, Wadim
contents We compute the Galois groups of the reductions modulo the prime numbers $p$ of the generating series of Apéry numbers, Domb numbers and Almkvist--Zudilin numbers. We observe in particular that their behavior is governed by congruence conditions on p.
format Preprint
id arxiv_https___arxiv_org_abs_2510_23298
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Galois Groups of Apéry-like Series Modulo Primes
Caruso, Xavier
Fürnsinn, Florian
Vargas-Montoya, Daniel
Zudilin, Wadim
Number Theory
We compute the Galois groups of the reductions modulo the prime numbers $p$ of the generating series of Apéry numbers, Domb numbers and Almkvist--Zudilin numbers. We observe in particular that their behavior is governed by congruence conditions on p.
title Galois Groups of Apéry-like Series Modulo Primes
topic Number Theory
url https://arxiv.org/abs/2510.23298