On the distribution of \(k\)-free integers

DOI10.1007/s10474-014-0454-9zbMath1349.11124OpenAlexW2073816440MaRDI QIDQ484525

Hongquan Liu

Publication date: 7 January 2015

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-014-0454-9

zbMATH Keywords

exponential sumRiemann hypothesis\(k\)-free integer

Mathematics Subject Classification ID

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

Related Items (4)

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 distribution of squarefree numbers

Cites Work

• The distribution of \(k\)-free numbers
• The distribution of r-free numbers
• Three-dimensional exponential sums with monomials
• The Distribution of Squarefree Numbers
• Sums of two relatively prime cubes
• On the estimates of double exponential sums
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