Catalan's Equation For Even Primes over Quadratic Fields

Abstract

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

An error in earlier version is corrected

References in corpus (1)

• Theorematum quorundam arithmeticorum demonstrationes