On the Diophantine equation \(nx^2+2^{2m}=y^n\)
type: Item
instance of: scholarly article
title: On the Diophantine equation \(nx^2+2^{2m}=y^n\)
zbMATH Open document ID: 1216.11040
author: Yongxing Wang
author: Tingting Wang
published in: Journal of Number Theory
publication date: 2011-05-23T00:00:00Z
Mathematics Subject Classification ID: 11D61
zbMATH DE Number: 5899189
zbMATH Keywords: exponential Diophantine equation
zbMATH Keywords: Lehmer number
zbMATH Keywords: primitive divisor
MaRDI profile type: Publication
full work available at URL: j.jnt.2011.02.014
OpenAlex ID: W2317388404
cites work: On the Diophantine equation \(px^2+q^{2m}=y^p\)
cites work: Existence of primitive divisors of Lucas and Lehmer numbers (with an appendix by M. Mignotte)
cites work: On the generalized Ramanujan-Nagell equation \(x^2+D=p^z\)
cites work: Q3037867
cites work: On Cohn's conjecture concerning the Diophantine equation \(x^2+2^m=y^n\)
cites work: Primary cyclotomic units and a proof of Catalans conjecture
cites work: The Solution of 3y 2 ± 2 n = x 3
cites work: Primitive Divisors of Lucas and Lehmer Sequences
DOI: 10.1016/J.JNT.2011.02.014
description: scientific article; zbMATH DE number 5899189