30 citations · 110 across the 33 of their papers we have counts for
33 papers
Sharp local estimates for smooth numbers
Ofir Gorodetsky
We establish sharp local estimates for smooth numbers. Corollaries are derived, including optimal estimates for square-free smooth numbers.
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 o…
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…
High and odd moments in the Erdős--Kac theorem
Ofir Gorodetsky
Granville and Soundararajan showed that the th moment in the Erdős--Kac theorem is equal to the th moment of the standard Gaussian distribution in the range $k=o((\log \log x…
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…