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A property of the counting function of integers with no large prime factors

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Publication:1064344
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DOI10.1016/0022-314X(86)90030-2zbMath0575.10039MaRDI QIDQ1064344

Douglas Hensley

Publication date: 1986

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


zbMATH Keywords

integers free of large prime factorsapproximations by smooth functions


Mathematics Subject Classification ID

Distribution of primes (11N05)


Related Items (5)

On Integers Free of Large Prime Factors ⋮ An interval result for the number field \(\psi{}(x,y)\) function ⋮ Statistical properties of friable integers ⋮ Integers, without large prime factors, in arithmetic progressions. I ⋮ Integers without large prime factors



Cites Work

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  • On a problem of Oppenheim concerning Factorisatio Numerorum
  • The number of positive integers \(\leq x\) and free of prime factors \(>y\)
  • The Turán-Kubilius inequality for integers without large prime factors.
  • Slicing the Cube in R n and Probability (Bounds for the Measure of a Central Cube Slice in R n by Probability Methods)


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