Work

Lucas congruences using modular forms

Year: 2024

Type: article

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.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.13182

Authors: Frits Beukers, Wei‐Lun Tsai, Dongxi Ye

Institutions: Utrecht University, University of South Carolina, Sun Yat-sen University

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Basic and Applied Basic Research Foundation of Guangdong Province

OpenAlex ID: W4404327047

FWCI: 2.224

Cites: 14

Cited by: 2

Related to: 10