On the Karatsuba divisor problem
- Authors: Iudelevich V.V.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 86, No 5 (2022)
- Pages: 169-196
- Section: Articles
- URL: https://journals.rcsi.science/1607-0046/article/view/133901
- DOI: https://doi.org/10.4213/im9270
- ID: 133901
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Abstract
We obtain an upper bound for the sum$$\Phi_a(x) = \sum_{p\le x}\frac{1}{\tau(p+a)},$$where $\tau(n)$ is the divisor function, $a\ge 1$ is a fixed integer, and $p$ runs through primes up to $x$.
Keywords
About the authors
Vitalii Victorovich Iudelevich
Lomonosov Moscow State Universitywithout scientific degree, no status
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