O. Klurman

most citedEffective Asymptotic Formulae for Multilinear Averages of Multiplicative Functions

3 citations · 5 across the 2 of their papers we have counts for

collaborators

3 papers

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.NT2015★ 2 cited

Distribution of factorials modulo p

Oleksiy Klurman, Marc Munsch

We prove that the sequence $n! (mod p)$ occupies at least $\frac{3}{2} N$ residue classes in the short interval $H \leq n \leq H + N$ and $N ≫ p^{\frac{1}{4}}$ improving prev…