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Perfect Numbers in the Ring of Eisenstein Integers

2016/02/29 by Jordan R. Hunt, Hunt, Jordan, Zachary Parker +3
Mathematics · #Analytic Number Theory Research #History and Theory of Mathematics #Advanced Mathematical Identities

paper · pdf · doi:10.48550/arxiv.1602.09106

Abstract

One of the many number theoretic topics investigated by the ancient Greeks was perfect numbers, which are positive integers equal to the sum of their proper positive integral divisors. Mathematicians from Euclid to Euler investigated these mysterious numbers. We present results on perfect numbers in the ring of Eisenstein integers.

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