Lucas congruences using modular forms
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910662366593024 |
|---|---|
| author | Beukers, Frits Tsai, Wei-Lun Ye, Dongxi |
| author_facet | Beukers, Frits Tsai, Wei-Lun Ye, Dongxi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_16616 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lucas congruences using modular forms Beukers, Frits Tsai, Wei-Lun Ye, Dongxi Number Theory 11F03, 11F11 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. |
| title | Lucas congruences using modular forms |
| topic | Number Theory 11F03, 11F11 |
| url | https://arxiv.org/abs/2408.16616 |