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A generalization of the Buchstab equation

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Publication:1382628
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DOI10.1007/BF02677852zbMath0942.11042MaRDI QIDQ1382628

Pieter Moree

Publication date: 20 August 2000

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156337

zbMATH Keywords

functional equationmultiplicative functionlargest prime factorBuchstab identity


Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers with specified multiplicative constraints (11N25)


Related Items

Nicolaas Govert de Bruijn, the enchanter of friable integers



Cites Work

  • Unnamed Item
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  • On the number of positive integers \(\leq x\) and free of prime factors \(>y\)
  • On the number of \(y\)-smooth natural numbers \(\leq x\) representable as a sum of two integer squares
  • Integers without large prime factors
  • On Integers Free of Large Prime Factors
  • APPLICATION OF SOME INTEGRAL EQUATIONS TO PROBLEMS OF NUMBER THEORY
  • Numbers with small prime factors, and the least 𝑘th power non-residue
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