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 2024Show all

3 papers · 1 filter

math.NT2024

High and odd moments in the Erdős--Kac theorem

Ofir Gorodetsky

Granville and Soundararajan showed that the $k$ th moment in the Erdős--Kac theorem is equal to the $k$ th moment of the standard Gaussian distribution in the range $k=o((\log \log x…

math.NT2024★ 1 cited

Martingale central limit theorem for random multiplicative functions

Ofir Gorodetsky, Mo Dick Wong

Let $α$ be a Steinhaus or a Rademacher random multiplicative function. For a wide class of multiplicative functions $f$ we show that the sum $\sum_{n \leq x} α (n) f (n)$ , normalised t…

math.NT2024★ 1 cited

A short proof of Helson's conjecture

Ofir Gorodetsky, Mo Dick Wong

Let $α : N \to S^{1}$ be the Steinhaus multiplicative function: a completely multiplicative function such that $(α (p))_{p prime}$ are i.i.d.~random variables unif…