by Thomas J. Pfaff
This article originally appeared in:
College Mathematics Journal
November, 2011
Subject classification(s):
Algebra and Number Theory | Number Theory | Diophantine EquationsApplicable Course(s):
4.3 Number TheoryWhen is the average of sums of powers of integers itself a sum of the first \(n\) integers raised to a power? We provide all solutions when averaging two sums, and provide some conditions regarding when larger averages may have solutions.
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Capsule Course Topic(s):
Number Theory | Numbers With Special Forms or Properties, Sums of Powers