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manuscripta mathematica

, Volume 94, Issue 1, pp 267–270 | Cite as

A generalization of the Buchstab equation

  • Pieter Moree
Article

Abstract

Letf be a multiplicative function and letΨ f (x, y) denote the incomplete multiplicative sum Σn≤x,P(n)≤y f(n), whereP(n) denotes the greatest prime factor ofn. A Buchstab- and a Hildebrand equation forΨ f (x, y) are derived.

Keywords

Number Theory Prime Factor Arithmetical Progression Diophantine Equation Multiplicative Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  • Pieter Moree
    • 1
  1. 1.Max-Planck-Institut für MathematikBonnGermany

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