Lucas congruences using modular forms

DOI10.1112/BLMS.13182MaRDI QIDQ6663897

Wei-Lun Tsai, Dongxi Ye, Frits Beukers

Publication date: 15 January 2025

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Holomorphic modular forms of integral weight (11F11)

Cites Work

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• Divisibility properties of sporadic Apéry-like numbers
• Dwork congruences and reflexive polytopes
• Some congruences for Apery numbers
• On the congruences of Euler numbers and the differential coefficients of trigonometric functions with respect to a prime modulus.
• Generalized Lucas congruences and linear \(p\)-schemes
• A Generalization of a Congruential Property of Lucas
• Arithmetic properties of Apéry-like numbers
• Congruences via modular forms
• Algebraic independence of G-functions and congruences "à la Lucas"
• CONGRUENCES SATISFIED BY APÉRY-LIKE NUMBERS
• Modular Forms
• New Representations for all Sporadic Apéry-Like Sequences, With Applications to Congruences
• \(p\)-linear schemes for sequences modulo \(p^{r}\)

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