Alexander P. Mangerel

activity

20152026

most citedMultiplicative functions that are close to their mean

13 citations · 45 across the 29 of their papers we have counts for

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math.NT2015★ 2 cited

On the Distribution of Integers with Restricted Prime Factors I

Alexander P. Mangerel

Let $E_{0}, \dots, E_{n}$ be a partition of the set of prime numbers, and define $E_{j} (x) := \sum_{p \leq x p \in E _{j}} \frac{1}{p}$ . Define $π (x; E, k)$ to be the n…

math.NT2015

Generalizations on a Problem of Saffari

Alexander P. Mangerel

We provide a generalization of a problem first considered by Saffari and fully solved by Saffari, Erdős and Vaughan on direct factor pairs, to arbitrary finite families of direct f…