Lucas congruences using modular forms
Publication date
2025-01
Authors
Beukers, F.
Tsai, Wei Lun
Ye, Dongxi
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Supervisors
Document Type
Article
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taverne
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.
Keywords
Taverne, General Mathematics
Citation
Beukers, F, Tsai, W L & Ye, D 2025, 'Lucas congruences using modular forms', Bulletin of the London Mathematical Society, vol. 57, no. 1, pp. 69-78. https://doi.org/10.1112/blms.13182