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Catalan's Equation For Even Primes over Quadratic Fields

Published 12 Dec 2011 in math.NT | (1112.2688v3)

Abstract: This article lists all the solution of the Catalan equation $xp-yq=1$ for $x,y \in \mathbb{Z}[i]$, when one of the primes $p and q$ is even.

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