On the concentration of certain additive functions

Dimitris Koukoulopoulos

Type: Article

Publication Date: 2014-01-01

Citations: 3

DOI: https://doi.org/10.4064/aa162-3-2

Abstract

We study the concentration of the distribution of an additive function $f$ when the sequence of prime values of $f$ decays fast and has good spacing properties. In particular, we prove a conjecture by Erdős and Kátai on the concentration of $f(n)=\sum_{p|

Locations

Acta Arithmetica - View - PDF
arXiv (Cornell University) - View - PDF
DataCite API - View

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Action	Title	Year	Authors
+	Introduction to Analytic and Probabilistic Number Theory	2015	Gérald Tenenbaum
+ PDF Chat	Probabilistic Methods in the Theory of Numbers	1964	Jonas Kubilius
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+	On the concentration of additive functions	1980	Imre Z. Ruzsa
+ PDF Chat	On the distribution of numbers of the form<i>σ</i>(<i>n</i>)<i>∕n</i>and on some related questions	1974	Paul Erdös
+	On the Distribution Function of Additive Functions	1946	P. Erdős
+	Probabilistic Number Theory I	1979	P. D. T. A. Elliott