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math.NT2026
Ternary Perfect Forms Over Imaginary Quadratic Field
Zachary Parker, Dan Yasaki
In this work, we enumerate the ternary perfect forms over all imaginary quadratic fields of absolute discriminant up to and study the number and combinatorial types of their a…
math.NT2016
Perfect Numbers in the Ring of Eisenstein Integers
Jordan Hunt, Zachary Parker, Jeff Rushall
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 divis…