Covering systems with odd moduli
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Acceso en línea: | |
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| _version_ | 1866911016567177216 |
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| author | Harrington, Joshua Sun, Yewen Wong, Wing Hong Tony |
| author_facet | Harrington, Joshua Sun, Yewen Wong, Wing Hong Tony |
| contents | The concept of a covering system was first introduced by Erdős in 1950. Since their introduction, a lot of the research regarding covering systems has focused on the existence of covering systems with certain restrictions on the moduli. Arguably, the most famous open question regarding covering systems is the odd covering problem. In this paper, we explore a variation of the odd covering problem, allowing a single odd prime to appear as a modulus in the covering more than once, while all other moduli are distinct, odd, and greater than $1$. We also consider this variation while further requiring the moduli of the covering system to be square-free. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_00602 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Covering systems with odd moduli Harrington, Joshua Sun, Yewen Wong, Wing Hong Tony Number Theory 11A07 The concept of a covering system was first introduced by Erdős in 1950. Since their introduction, a lot of the research regarding covering systems has focused on the existence of covering systems with certain restrictions on the moduli. Arguably, the most famous open question regarding covering systems is the odd covering problem. In this paper, we explore a variation of the odd covering problem, allowing a single odd prime to appear as a modulus in the covering more than once, while all other moduli are distinct, odd, and greater than $1$. We also consider this variation while further requiring the moduli of the covering system to be square-free. |
| title | Covering systems with odd moduli |
| topic | Number Theory 11A07 |
| url | https://arxiv.org/abs/2104.00602 |