A supercongruence fantasy on Fibonacci and Lucas (after Guillera)
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866918325869608960 |
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| author | Zudilin, Wadim |
| author_facet | Zudilin, Wadim |
| contents | Motivated by observations of Guillera we generalise the so-called Ramanujan-type supercongruences to a further level in which the sequences of Fibonacci, Lucas, Apéry numbers and their friends all receive a natural appearance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_06679 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A supercongruence fantasy on Fibonacci and Lucas (after Guillera) Zudilin, Wadim Number Theory 11F33 (primary), 11B39, 11B65, 11B83, 11Y55, 33C20 (secondary) Motivated by observations of Guillera we generalise the so-called Ramanujan-type supercongruences to a further level in which the sequences of Fibonacci, Lucas, Apéry numbers and their friends all receive a natural appearance. |
| title | A supercongruence fantasy on Fibonacci and Lucas (after Guillera) |
| topic | Number Theory 11F33 (primary), 11B39, 11B65, 11B83, 11Y55, 33C20 (secondary) |
| url | https://arxiv.org/abs/2602.06679 |