6 papers
A Kubilius model for sieve-theoretic sequences
Ofir Gorodetsky
We bound the total variation distance in the Kubilius model for sequences with positive level of distribution. We obtain a result that we expect is qualitatively optimal. As a spec…
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…
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 seri…
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 un…
New representations for all sporadic Apéry-like sequences, with applications to congruences
Ofir Gorodetsky
We find new representations, in terms of constant terms of powers of Laurent polynomials, for all the 15 sporadic Ap{é}ry-like sequences discovered by Zagier, Almkvist-Zudilin and…
High and odd moments in the ErdÅs--Kac theorem
Ofir Gorodetsky
Granville and Soundararajan showed that the th moment in the ErdÅs--Kac theorem is equal to the th moment of the standard Gaussian distribution in the range $k=o((\log \log…