On the distribution of squarefree numbers

DOI10.1016/j.jnt.2015.07.013zbMath1338.11079OpenAlexW2207745004WikidataQ114157459 ScholiaQ114157459MaRDI QIDQ746939

D. Kharzeev

Publication date: 21 October 2015

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.07.013

zbMATH Keywords

exponential sumsRiemann hypothesissquarefree numbers

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Special sequences and polynomials (11B83)

Related Items (5)

Explicit bounds for large gaps between squarefree integers ⋮ Moments of the distribution of k$k$‐free numbers in short intervals and arithmetic progressions ⋮ The distribution of $k$-free numbers ⋮ On the variance of squarefree integers in short intervals and arithmetic progressions ⋮ Asymptotics of the k‐free diffraction measure via discretisation

Cites Work

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• On the distribution of \(k\)-free integers
• The distribution of \(k\)-free numbers
• The Pjateckii-Sapiro prime number theorem
• The Distribution of Squarefree Numbers
• On a fundamental result in van der Corput's method of estimating exponential sums
• The distribution of square-free numbers
• The distribution of square-free numbers
• Almost primes in short intervals

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