Arithmetic functions associated with infinitary divisors of an integer-Reference-Cited by-同舟云学术

Arithmetic functions associated with infinitary divisors of an integer

Published:1993 Issue:2 Volume:16 Page:373-383
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Cohen Graeme L.¹²,Hagis Peter¹²

Affiliation:

1. School of Mathematical Sciences, University of Technology, Broadway, Sydney 2007, NSW, Australia

2. Department of Mathematics, Temple University, Philadelphia 19122, PA, USA

Abstract

The infinitary divisors of a natural numbernare the products of its divisors of the formpyα2α, wherepyis a prime-power component ofnand∑αyα2α(whereyα=0or1) is the binary representation ofy. In this paper, we investigate the infinitary analogues of such familiar number theoretic functions as the divisor sum function, Euler's phi function and the Möbius function.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/1993/842035.pdf

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