The distribution of r-free numbers

DOI10.1007/BF02170072zbMath0676.10029OpenAlexW1987967654MaRDI QIDQ1122620

Sidney W. Graham, János Pintz

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf02170072

zbMATH Keywords

exponential sumsRiemann hypothesisVaughan's identityexponent pairsnumber of r-free integers

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of primes (11N05)

Related Items (5)

The distribution of \(k\)-free numbers ⋮ The distribution of k-free numbers and the derivative of the Riemann zeta-function ⋮ On the distribution of \(k\)-free integers ⋮ The distribution of $k$-free numbers ⋮ Power-free values of strongly \(q\)-additive functions

Cites Work

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• The Pjateckii-Sapiro prime number theorem
• On a problem in the additive theory of numbers. IV
• Some extremal functions in Fourier analysis
• An elementary method in prime number theory
• The lattice point problem of many-dimensional hyperboloids I
• On the Distribution of Square-Free Numbers
• The distribution of square-free numbers

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