A. Marynych

activity

20092026

most citedLimit theorems for the number of occupied boxes in the Bernoulli sieve

24 citations · 99 across the 51 of their papers we have counts for

collaborators

Showing math.NTShow all

2 papers · 1 filter

math.NT2023

Divisibility properties of polynomial expressions of random integers

Zakhar Kabluchko, Alexander Marynych

We study divisibility properties of a set ${f_{1} (U_{n}^{(s)}), \dots, f_{m} (U_{n}^{(s)})}$ , where $f_{1}, \dots, f_{m}$ are polynomials in $s$ variables over $Z$ an…

math.NT2021★ 4 cited

Asymptotics of arithmetic functions of GCD and LCM of random integers in hyperbolic regions

Alexander Iksanov, Alexander Marynych, Kilian Raschel

We prove limit theorems for the greatest common divisor and the least common multiple of random integers. While the case of integers uniformly distributed on a hypercube with growi…