Shifted-prime divisors
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914719381585920 |
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| author | Fan, Steve Pomerance, Carl |
| author_facet | Fan, Steve Pomerance, Carl |
| contents | Let $ω^*(n)$ denote the number of divisors of $n$ that are shifted primes, that is, the number of divisors of $n$ of the form $p-1$, with $p$ prime. Studied by Prachar in an influential paper from 70 years ago, the higher moments of $ω^*(n)$ are still somewhat a mystery. This paper addresses these higher moments and considers other related problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10427 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Shifted-prime divisors Fan, Steve Pomerance, Carl Number Theory 11N25, 11N37, 11B05 Let $ω^*(n)$ denote the number of divisors of $n$ that are shifted primes, that is, the number of divisors of $n$ of the form $p-1$, with $p$ prime. Studied by Prachar in an influential paper from 70 years ago, the higher moments of $ω^*(n)$ are still somewhat a mystery. This paper addresses these higher moments and considers other related problems. |
| title | Shifted-prime divisors |
| topic | Number Theory 11N25, 11N37, 11B05 |
| url | https://arxiv.org/abs/2401.10427 |