The floor quotient partial order
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866912560370941952 |
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| author | Lagarias, Jeffery C. Richman, David Harry |
| author_facet | Lagarias, Jeffery C. Richman, David Harry |
| contents | A positive integer $d$ is a floor quotient of $n$ if there is a positive integer $k$ such that $d = \lfloor n/k \rfloor$. The floor quotient relation defines a partial order on the positive integers. This paper studies the internal structure of this partial order and its Möbius function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_11689 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The floor quotient partial order Lagarias, Jeffery C. Richman, David Harry Number Theory 06A06, 11A05 (primary), 06A07, 05A16, 11N80, 15B36, 39B72, 65G30, 97N20 (secondary) A positive integer $d$ is a floor quotient of $n$ if there is a positive integer $k$ such that $d = \lfloor n/k \rfloor$. The floor quotient relation defines a partial order on the positive integers. This paper studies the internal structure of this partial order and its Möbius function. |
| title | The floor quotient partial order |
| topic | Number Theory 06A06, 11A05 (primary), 06A07, 05A16, 11N80, 15B36, 39B72, 65G30, 97N20 (secondary) |
| url | https://arxiv.org/abs/2212.11689 |