activity
20232026
most citedMartingale central limit theorem for random multiplicative functions

1 citations · 3 across the 8 of their papers we have counts for

collaborators
Showing math.NTShow all

6 papers · 1 filter

math.NT2026

Low moments of Hecke eigenvalue sums

Jad Hamdan, Sun-Kai Leung, Mo Dick Wong

We show that partial sums of the Sato--Tate random multiplicative functions introduced by Cogdell and Michel exhibit better-than-square-root cancellation. The proof proceeds via a…

math.NT2025

On the limiting distribution of sums of random multiplicative functions

Ofir Gorodetsky, Mo Dick Wong

We establish the limiting distribution of where is a Steinhaus random multiplicative function, answering a question o…

math.NT2025

Multiplicative chaos measure for multiplicative functions: the -regime

Ofir Gorodetsky, Mo Dick Wong

Let be a Steinhaus random multiplicative function. For a wide class of multiplicative functions we construct a multiplicative chaos measure arising from the Dirichlet serie…

math.NT2024★ 1 cited

Martingale central limit theorem for random multiplicative functions

Ofir Gorodetsky, Mo Dick Wong

Let be a Steinhaus or a Rademacher random multiplicative function. For a wide class of multiplicative functions we show that the sum , normalised t…

math.NT2024★ 1 cited

A short proof of Helson's conjecture

Ofir Gorodetsky, Mo Dick Wong

Let be the Steinhaus multiplicative function: a completely multiplicative function such that are i.i.d.~random variables unif…

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 , over integers with exactly prime factors, are bounded by an absolute constant, and in 1993 Zhang proved that $…