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Upper Bounds on the Sum of Principal Divisors of an Integer
by Roger B. Eggleton (Illinois State University) and William P. Galvin (University of Newcastle, Australia)
This article originally appeared in:Mathematics Magazine
June, 2004
Subject classification(s): Integers | Number Theory | Algebra and Number Theory
Applicable Course(s): 4.3 Number Theory
After a brief historical discussion of the aliquot parts of an integer the authors use elementary arguments to prove a theorem about the sums of its principal divisors.
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Capsule Course Topic(s): Number Theory | Arithmetic Functions
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