Lucas congruences using modular forms
Number Theory
2024-10-24 v2
Abstract
In this work, we prove that many Ap\'ery-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.
Keywords
Cite
@article{arxiv.2408.16616,
title = {Lucas congruences using modular forms},
author = {Frits Beukers and Wei-Lun Tsai and Dongxi Ye},
journal= {arXiv preprint arXiv:2408.16616},
year = {2024}
}
Comments
This revision addresses the comments and suggestions provided by the referee