Sieving Positive Integers by Primes


  •  Samir Brahim Behaouari    

Abstract

Let Q be a set of primes and let Ψ(x, y, Q) be the number of positive integers less than or equal to x that have no prime factors from Q exceeding the integer y. We have enhanced an asymptotic formula for Ψ(x; y; Q) after highlighting some properties of the function Ψ.



This work is licensed under a Creative Commons Attribution 4.0 License.
  • Issn(Print): 1916-9795
  • Issn(Onlne): 1916-9809
  • Started: 2009
  • Frequency: bimonthly

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