An elementary proof of a theorem of Bremner
type: Item
instance of: scholarly article
title: An elementary proof of a theorem of Bremner
zbMATH Open document ID: 0756.11006
published in: Osaka Journal of Mathematics
publication date: 1992-09-27T00:00:00Z
review text: \textit{A. Bremner} proved [Osaka J. Math. 16, 353-356 (1979; Zbl 0417.05008)] that the Diophantine equation \[ 3x^ 4-4y^ 4-2x^ 2+12y^ 2-9=0 \] has only two positive integer solutions \((x,y)=(1,1)\) and \((3,3)\). His proof is somewhat difficult. The author gives an elementary proof in this paper.
Mathematics Subject Classification ID: 11D25
zbMATH DE Number: 59717
zbMATH Keywords: quartic Diophantine equation
zbMATH Keywords: quadratic reciprocity
zbMATH Keywords: Pell's equation
author: Ming Luo
MaRDI profile type: Publication
reviewed by: Ke Zhao
description: scientific article; zbMATH DE number 59717