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Author

O. Gorodetsky

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Preprint Oct 2026

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

Let $\mathrm{GL}_n(\mathbb{F}_q)$ be the group of $n\times n$ invertible matrices over a finite field $\mathbb{F}_q$. How many matrices in $\mathrm{GL}_n(\mathbb{F}_q)$ are there with a subset of their entries prescribed? Motivated by the random matrix theory of classical compact groups, we address this question and va...

Ofir Gorodetsky · 0 citations
Open access Aug 2026

A Kubilius model for sieve-theoretic sequences

<jats:p> 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 special case, it recovers a recent result of Ford on shifted primes, with a slightly simplified...

O. Gorodetsky · 0 citations

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