2024/11/12 by Frits Beukers, Wei‐Lun Tsai, Dongxi Ye · 1 citation
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Advanced Combinatorial Mathematics
paper · doi:10.1112/blms.13182
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.