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The Average Number of Divisors in an Arithmetic Progression

Published online by Cambridge University Press:  20 November 2018

R. A. Smith  and
M. V. Subbarao
R. A. Smith
Affiliation:
Department of Mathematics, University of Toronto, Toronto M5S 1A1, Canada
M. V. Subbarao
Affiliation:
Department of Mathematics, University of Alberta, Edmonton T6G 2G1, Canada
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Let l and k be positive integers. Then for each integer n ≥ 1, define d(n; l, k) to be the number of (positive) divisors of n which lie in the arithmetic progression I mod k. Note that d(n;1,1) = d(n), the ordinary divisor function.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 1 , 01 March 1981 , pp. 37 - 41
Copyright
Copyright © Canadian Mathematical Society 1981

References

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