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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Showing 2016Show all

2 papers · 1 filter

math.NT2016★ 2 cited

A Strengthening of Theorems of Halász and Wirsing

Alexander P. Mangerel

Given an arithmetic function $g (n)$ write $M_{g} (x) := \sum_{n \leq x} g (n)$ . We extend and strengthen the results of a fundamental paper of Halász in several ways by proving upper b…

math.NT2016★ 3 cited

On the Number of Restricted Prime Factors of an Integer II

Alexander P. Mangerel

Given a partition ${E_{0}, \dots, E_{n}}$ of the set of primes and a vector $k \in N_{0}^{n + 1}$ , we compute an asymptotic formula for the quantity $|\{m \leq x: ω_{E_j…