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arxiv: 1405.4025 · v2 · pith:LWQ5TKOQnew · submitted 2014-05-15 · 🧮 math.NT

Unit Fractions in Norm-Euclidean Rings of Integers

classification 🧮 math.NT
keywords integersnorm-euclideanringss-strausconjecturediophantineequationfields
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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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