Lucas congruences using modular forms
| Autor: | Beukers, Frits, Tsai, Wei-Lun, Ye, Dongxi |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this work, we prove that a sequence arising from modular forms under some prescribed conditions for $\Gamma$ that is $\Gamma_{0}(N)$ or an Atkin--Lehner extension of $\Gamma_{0}(N)$ must satisfy the Lucas congruences modulo any prime. As an implication, we completely affirm all the conjectural Lucas congruences that were recently posed by Cooper and reinterpret a number of known results. Comment: 9 pages |
| Databáze: | arXiv |
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