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

collaborators

Showing 2017Show all

4 papers · 1 filter

math.NT2017★ 3 cited

Effective Asymptotic Formulae for Multilinear Averages of Multiplicative Functions

Oleksiy Klurman, Alexander P. Mangerel

Let $f_{1}, \dots, f_{k} : N \to C$ be multiplicative functions taking values in the closed unit disc. Using an analytic approach in the spirit of Halász' mean…

math.NT2017

Rigidity Theorems for Multiplicative Functions

Oleksiy Klurman, Alexander P. Mangerel

We establish several results concerning the expected general phenomenon that, given a multiplicative function $f : N \to C$ , the values of $f (n)$ and $f (n + a)$ are "ge…

math.NT2017

On the Bivariate Erdős-Kac Theorem and Correlations of the Möbius Function

Alexander P. Mangerel

Let $2 \leq y \leq x$ such that $β := \frac{l o g x}{l o g y} \to \infty$ . Let $ω_{y} (n)$ denote the number of distinct prime factors $p$ of $n$ such that $p \leq y$ , and let $μ…

math.NT2017

Large odd order character sums and improvements of the Pólya-Vinogradov inequality

Youness Lamzouri, Alexander P. Mangerel

For a primitive Dirichlet character $χ$ modulo $q$ , we define $M (χ) = max_{t} ∣ \sum_{n \leq t} χ (n) ∣$ . In this paper, we study this quantity for characters of a fixed odd order $g\…