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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:
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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