GALOIS GROUPS OF APÉRY-LIKE SERIES MODULO PRIMES
Abstract We compute the Galois groups of the reductions modulo a prime number p of the generating series of Apéry numbers, Domb numbers and Almkvist–Zudilin numbers. We observe in particular that their behaviour is governed by congruence conditions on p .
Authors
- Florian Fürnsinn (ORCID: https://orcid.org/0009-0001-8142-7430)
- Xavier Caruso
- Daniel Vargas-Montoya
- Wadim Zudilin
Institutions
- Centre National de la Recherche Scientifique (FR)
- University of Vienna (AT)
- Université Toulouse III - Paul Sabatier (FR)
- Radboud University Nijmegen (NL)
- Université de Bordeaux (FR)
Publication Details
- Journal
- Bulletin of the Australian Mathematical Society
- Published
- 2026-02-13
- DOI
- https://doi.org/10.1017/s0004972725100932
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 0.00