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Unit Fractions in Norm-Euclidean Rings of Integers (1405.4025v2)
Published 15 May 2014 in math.NT
Abstract: In this paper we make a Gaussian integer version of the Erd\H{o}s-Straus conjecture and we solve the Erd\H{o}s-Straus diophantine equation over the rings of integers of norm-Euclidean quadratic fields.
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