ON THE DISTRIBUTION OF THE VALUES OF ADDITIVE FUNCTIONS OVER INTEGERS WITH A FIXED NUMBER OF DISTINCT PRIME DIVISORS

Jean-Marie De Koninck; Imre Kátai

doi:10.51286/albjm/1356080795

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Home > Journals > Albanian J. Math. > Volume 6 > Issue 2 > Article

2012 ON THE DISTRIBUTION OF THE VALUES OF ADDITIVE FUNCTIONS OVER INTEGERS WITH A FIXED NUMBER OF DISTINCT PRIME DIVISORS

Jean-Marie De Koninck, Imre Kátai

Author Affiliations +

Jean-Marie De Koninck,^1,2 Imre Kátai^3,4
¹Département de mathématiques et de statistique Université Laval Québec Québec G1V 0A6 Canada jmdk@mat.ulaval.ca
²Research supported in part by a grant from NSERC.
³Computer Algebra Department Eötvös Loránd University 1117 Budapest Pázmány Péter Sétány I/C Hungary katai@compalg.inf.elte.hu
⁴Research supported by ELTE IK.

Albanian J. Math. 6(2): 75-86 (2012). DOI: 10.51286/albjm/1356080795

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Abstract

We study the distribution of the values of certain additive functions restricted to those integers with a fixed number of prime divisors.

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Jean-Marie De Koninck. Imre Kátai. "ON THE DISTRIBUTION OF THE VALUES OF ADDITIVE FUNCTIONS OVER INTEGERS WITH A FIXED NUMBER OF DISTINCT PRIME DIVISORS." Albanian J. Math. 6 (2) 75 - 86, 2012. https://doi.org/10.51286/albjm/1356080795

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Published: 2012

First available in Project Euclid: 13 July 2023

Digital Object Identifier: 10.51286/albjm/1356080795

Subjects:

Primary: 11K65 , 11N60

Keywords: additive functions , distribution function

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Albanian J. Math.

Vol.6 • No. 2 • 2012

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Jean-Marie De Koninck, Imre Kátai "ON THE DISTRIBUTION OF THE VALUES OF ADDITIVE FUNCTIONS OVER INTEGERS WITH A FIXED NUMBER OF DISTINCT PRIME DIVISORS," Albanian Journal of Mathematics, Albanian J. Math. 6(2), 75-86, (2012)

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