Arithmetic functions associated with infinitary divisors of an integer

The infinitary divisors of a natural number n are the products of its divisors of the form pyα2α, where py is a prime-power component of n and ∑αyα2α (where yα=0 or 1) is the binary representation of y. In this paper, we investigate the infinitary analogues of such familiar number theoretic function...

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Bibliographic Details
Main Authors: Graeme L. Cohen, Peter Hagis
Format: Article
Language:English
Published: Hindawi Limited 1993-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171293000456