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An application of the modular method and the symplectic argument to a Lebesgue-Nagell equation

Published 25 Nov 2018 in math.NT | (1811.10118v1)

Abstract: In this paper, we study the generalized Lebesgue-Nagell equation [ x2+7{2k+1}=yn. ] This is the last case of equations of the form $x2+q{2k+1}=yn$ with $k\geq0$ and $q>0$ where $\mathbb{Q}(\sqrt{-q})$ has class number one. Our proof is based on the modular method and the symplectic argument.

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Authors (1)

  1. Angelos Koutsianas 

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