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

DOI10.1007/s00039-021-00557-5zbMath1473.11180arXiv2006.04060OpenAlexW3033662116MaRDI QIDQ2035533

Ofir Gorodetsky, Maksym Radziwiłł, Kaisa Matomäki, Brad Rodgers

Publication date: 25 June 2021

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.04060

zbMATH Keywords

arithmetic progressionsshort intervalssquare-free integersmean-value

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Distribution of integers with specified multiplicative constraints (11N25)

Related Items

On the distribution of reduced fractions with squarefree denominators ⋮ Squarefrees are Gaussian in short intervals ⋮ On the Rankin-Selberg problem in families ⋮ Moments of the distribution of k$k$‐free numbers in short intervals and arithmetic progressions ⋮ Variance of squarefull numbers in short intervals ⋮ A variance for \(k\)-free numbers in arithmetic progressions of given modulus

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