Mathematical Institute

Mean values of arithmetic functions in short intervals and in arithmetic
progressions in the large-degree limit

Gorodetsky, O (01 Oct 2018) http://arxiv.org/abs/1810.00483v2

Magic squares, the symmetric group and Möbius randomness

Gorodetsky, O (23 Feb 2021) http://arxiv.org/abs/2102.11966v4

Friable permutations and polynomials revisited

Gorodetsky, O (20 Nov 2022) http://arxiv.org/abs/2211.11023v3

The variance of integers without small prime factors in short intervals

Gorodetsky, O (01 Nov 2021) http://arxiv.org/abs/2111.00853v2

Sums of two squares are strongly biased towards quadratic residues

Gorodetsky, O (24 Nov 2021) http://arxiv.org/abs/2111.12662v4

Squarefrees are Gaussian in short intervals

Gorodetsky, O Mangerel, A Rodgers, B (22 Dec 2021) http://arxiv.org/abs/2112.12234v3

On Erdős sums of almost primes

Gorodetsky, O Lichtman, J Wong, M Comptes Rendus Mathematique

Uniform estimates for smooth polynomials over finite fields

Gorodetsky, O (09 Mar 2022) http://arxiv.org/abs/2203.04657v3

Smooth integers and the Dickman $ρ$ function

Gorodetsky, O (16 Nov 2022) http://arxiv.org/abs/2211.08973v6

Equidistribution of high traces of random matrices over finite fields
and cancellation in character sums of high conductor

Gorodetsky, O Kovaleva, V (03 Jul 2023) http://arxiv.org/abs/2307.01344v2

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