O. Gorodetsky

activity

20162026

most citedq-Congruences, with applications to supercongruences and the cyclic sieving phenomenon

30 citations · 110 across the 33 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.NT2023

On an Erdős--Kac-type conjecture of Elliott

Ofir Gorodetsky, Lasse Grimmelt

Elliott and Halberstam proved that $\sum_{p < n} 2^{ω (n - p)}$ is asymptotic to $ϕ (n)$ . In analogy to the Erdős--Kac Theorem, Elliott conjectured that if one restricts the summation to…

math.NT2023

Equidistribution of high traces of random matrices over finite fields and cancellation in character sums of high conductor

Ofir Gorodetsky, Valeriya Kovaleva

Let $g$ be a random matrix distributed according to uniform probability measure on the finite general linear group $GL_{n} (F_{q})$ . We show that $Tr (g^{k})$ eq…

math.NT2023★ 1 cited

On Erdős sums of almost primes

Ofir Gorodetsky, Jared Duker Lichtman, Mo Dick Wong

In 1935, Erdős proved that the sums $f_{k} = \sum_{n} 1/ (n lo g n)$ , over integers $n$ with exactly $k$ prime factors, are bounded by an absolute constant, and in 1993 Zhang proved that $…