The distribution of \(k\)-free numbers

DOI10.1007/s10474-009-9042-9zbMath1224.11078OpenAlexW2155267592MaRDI QIDQ624223

Sumit K. Garg

Publication date: 8 February 2011

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

Full work available at URL: https://doi.org/10.1007/s10474-009-9042-9

zbMATH Keywords

exponential sumRiemann hypothesis\(k\)-free numberdouble large sieve

Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25)

Related Items (8)

kth powers in Piatetski-Shapiro sequences ⋮ Explicit bounds for large gaps between squarefree integers ⋮ The distribution of k-free numbers and the derivative of the Riemann zeta-function ⋮ Moments of the distribution of k$k$‐free numbers in short intervals and arithmetic progressions ⋮ On the distribution of \(k\)-free integers ⋮ The distribution of $k$-free numbers ⋮ On the distribution of squarefree numbers ⋮ Power-free values of strongly \(q\)-additive functions

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• On the average number of unitary factors of finite abelian groups
• Sums of two relatively prime cubes
• On the Distribution of Square-Free Numbers
• The distribution of square-free numbers
• The distribution of square-free numbers

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