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Results tagged with asymptotics
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user 10280
Asymptotic behavior of functions, asymptotic series and related topics
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Sharp upper bounds for sums of the form $\sum_{p \mid k} \frac{1}{p+1}$
If we are allowed to consider somewhat weaker bounds, both answers depend only on the number of unitary divisors of $k$, which is $2^{\omega(k)}$. By the quoted result of O. Izhboldin and L. Kurliandc …
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Sharp upper bounds for sums of the form $\sum_{p \mid k} \frac{1}{p+1}$
Are there known sharp upper bounds (in terms of $k$ or $\omega(k)$, the number of distinct prime divisors of $k$) for sums of the form $\sum_{p \mid k} \frac{1}{p+1}$ for $k > 1$ subject to the constr …
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