Finiteness of Disjoint Covering Systems with Precisely One Repeated Modulus
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866915894733570048 |
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| author | Hashimoto, Yu |
| author_facet | Hashimoto, Yu |
| contents | We prove that for each fixed $m \ge 2$, there are only finitely many disjoint covering systems with minimum modulus at least $3$ in which precisely one modulus is repeated, namely the largest modulus, and it occurs exactly $m$ times. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26043 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Finiteness of Disjoint Covering Systems with Precisely One Repeated Modulus Hashimoto, Yu Number Theory We prove that for each fixed $m \ge 2$, there are only finitely many disjoint covering systems with minimum modulus at least $3$ in which precisely one modulus is repeated, namely the largest modulus, and it occurs exactly $m$ times. |
| title | Finiteness of Disjoint Covering Systems with Precisely One Repeated Modulus |
| topic | Number Theory |
| url | https://arxiv.org/abs/2603.26043 |