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

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Showing 2026 · math.NTShow all

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math.NT2026

Statistics of entries of matrices from the general linear group over a finite field

Ofir Gorodetsky

Let $GL_{n} (F_{q})$ be the group of $n \times n$ invertible matrices over a finite field $F_{q}$ . How many matrices in $GL_{n} (F_{q})$ are there w…

math.NT2026

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.

math.NT2026

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…