Lucas congruences using modular forms
Abstract In this work, we prove that many Apéry‐like sequences arising from modular forms satisfy the Lucas congruences modulo any prime. As an implication, we completely affirm four conjectural Lucas congruences that were recently posed by S. Cooper and reinterpret a number of known results.
Authors
- Wei‐Lun Tsai (ORCID: https://orcid.org/0000-0002-8747-5230)
- Dongxi Ye (ORCID: https://orcid.org/0000-0002-9986-388X)
- Frits Beukers (ORCID: https://orcid.org/0000-0003-0366-8615)
Institutions
- University of South Carolina (US)
- Sun Yat-sen University (CN)
- Utrecht University (NL)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2024-11-12
- DOI
- https://doi.org/10.1112/blms.13182
- Citations
- 1
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 1.27