Abstract
We use the letter n to denote positive integers. Ω(n) is the number of prime factors in the factorization of n, counted with multiplicity.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
L.G.Sathe, On a problem of Hardy on the distribution of integers having a prescribed number of prime factors, I, II, III, IV, J. Indian Math. Soc. 17 (1953), 63–141; 18 (1954), 27–81.
A. Selberg, Note on a paper by L.G. Sathe, J. Indian Math. Soc. 18 (1954), 83–87.
J.L. Nicolas, Sur la distribution des entiers ayant une quantité fixée de facteurs premiers, Acta Arith. 44 (1984), 191–200.
M. Balazard, Sur la répartition des valeurs de certaines fonctions arithmétiques additives, Thèse, Université de Limoges, 1987.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Additional information
Dedicated to Paul Bateman for his seventieth birthday
Rights and permissions
Copyright information
© 1990 Bikhäuser Boston
About this chapter
Cite this chapter
Delange, H. (1990). On the Integers n for which Ω(n)=k . In: Berndt, B.C., Diamond, H.G., Halberstam, H., Hildebrand, A. (eds) Analytic Number Theory. Progress in Mathematics, vol 85. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-3464-7_10
Download citation
DOI: https://doi.org/10.1007/978-1-4612-3464-7_10
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-3481-0
Online ISBN: 978-1-4612-3464-7
eBook Packages: Springer Book Archive