Mathematical Institute

On the variance of squarefree integers in short intervals and arithmetic
progressions

Gorodetsky, O Matomäki, K Radziwiłł, M Rodgers, B (07 Jun 2020) http://arxiv.org/abs/2006.04060v2

The variance of the number of sums of two squares in $\mathbb{F}_q[T]$
in short intervals

Gorodetsky, O Rodgers, B (14 Oct 2018) http://arxiv.org/abs/1810.06002v4

Multiplicative arithmetic functions and the generalized Ewens measure

Elboim, D Gorodetsky, O (02 Sep 2019) http://arxiv.org/abs/1909.00601v3

Uniform estimates for almost primes over finite fields

Elboim, D Gorodetsky, O (13 Aug 2020) http://arxiv.org/abs/2008.05778v2

New representations for all sporadic Apéry-like sequences, with
applications to congruences

Gorodetsky, O (23 Feb 2021) http://arxiv.org/abs/2102.11839v1

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

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