Perfect Numbers in the Ring of Eisenstein Integers

Published 29 Feb 2016 in math.NT | (1602.09106v1)

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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