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- W4365440952 abstract "We prove that $$ sum_{p leq x} frac{1}{tau(p-1)} asymp frac{x}{(log x)^{3/2}}, quad quad sum_{n leq x} frac{1}{tau(n^2+1)} asymp frac{x}{(log x)^{1/2}}, $$ where $tau(n)=sum_{d|n}1$ is the number of divisors of $n$, and the summation in the first sum is over primes." @default.
- W4365440952 created "2023-04-15" @default.
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- W4365440952 date "2023-04-10" @default.
- W4365440952 modified "2023-09-28" @default.
- W4365440952 title "Karatsuba's divisor problem and related questions" @default.
- W4365440952 doi "https://doi.org/10.48550/arxiv.2304.04805" @default.
- W4365440952 hasPublicationYear "2023" @default.
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