On integrality and asymptotic behavior of the $(k, l)$-Göbel sequences
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866911776950452224 |
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| author | Gima, Hibiki Matsusaka, Toshiki Miyazaki, Taichi Yara, Shunta |
| author_facet | Gima, Hibiki Matsusaka, Toshiki Miyazaki, Taichi Yara, Shunta |
| contents | Recently, Matsuhira, Matsusaka, and Tsuchida revisited old studies on the integrality of $k$-Göbel sequences and showed that the first 19 terms are always integers for any integer $k\ge 2$. In this article, we further explore two topics: Ibstedt's $(k,l)$-Göbel sequences and Zagier's asymptotic formula for the $2$-Göbel sequence, and extend their results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09064 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On integrality and asymptotic behavior of the $(k, l)$-Göbel sequences Gima, Hibiki Matsusaka, Toshiki Miyazaki, Taichi Yara, Shunta Number Theory Primary 11B37, Secondary 11B50 Recently, Matsuhira, Matsusaka, and Tsuchida revisited old studies on the integrality of $k$-Göbel sequences and showed that the first 19 terms are always integers for any integer $k\ge 2$. In this article, we further explore two topics: Ibstedt's $(k,l)$-Göbel sequences and Zagier's asymptotic formula for the $2$-Göbel sequence, and extend their results. |
| title | On integrality and asymptotic behavior of the $(k, l)$-Göbel sequences |
| topic | Number Theory Primary 11B37, Secondary 11B50 |
| url | https://arxiv.org/abs/2402.09064 |