Reciprocals of Certain Large Additive Functions
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Published:1981-06-01
Issue:2
Volume:24
Page:225-231
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ISSN:0008-4395
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Container-title:Canadian Mathematical Bulletin
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language:en
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Short-container-title:Can. math. bull.
Author:
De Koninck J.-M.,Erdös P.,Ivić A.
Abstract
Let β(n) = ∑p|nP and B(n) = ∑Pα||nαP denote the sum of distinct prime divisors of n and the sum of all prime divisors of n respectively. Both β(n) and B(n) are additive functions which are in a certain sense large (the average order of B(n) is π2n/(6 log n), [1]).
Publisher
Canadian Mathematical Society
Subject
General Mathematics
Cited by
1 articles.
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