The $p$-adic Valuations of Möbius Duals of Lucas Sequences
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866918229712044032 |
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| author | Ross, Tyler Shen, Zhongyan Cai, Tianxin |
| author_facet | Ross, Tyler Shen, Zhongyan Cai, Tianxin |
| contents | In this paper, we extend the $p$-adic valuations of the Möbius duals of Lucas sequences, originally obtained by Carmichael for regular Lucas sequences to irregular Lucas sequences. We conclude with a brief observation about the relationship of these valuations to the existence of Wall-Sun-Sun primes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_03481 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The $p$-adic Valuations of Möbius Duals of Lucas Sequences Ross, Tyler Shen, Zhongyan Cai, Tianxin Number Theory 11B39 (Primary), 11A25 (Secondary) In this paper, we extend the $p$-adic valuations of the Möbius duals of Lucas sequences, originally obtained by Carmichael for regular Lucas sequences to irregular Lucas sequences. We conclude with a brief observation about the relationship of these valuations to the existence of Wall-Sun-Sun primes. |
| title | The $p$-adic Valuations of Möbius Duals of Lucas Sequences |
| topic | Number Theory 11B39 (Primary), 11A25 (Secondary) |
| url | https://arxiv.org/abs/2512.03481 |