On the exponential diophantine equation \(x^ 2 = 2^{2a}k^{2m} - 2^{2a}k^{m+n} + 1\)
type: Item
instance of: scholarly article
zbMATH Open document ID: 0869.11030
author: Yongdong Guo
publication date: 1997-04-24T00:00:00Z
Mathematics Subject Classification ID: 11D61
Mathematics Subject Classification ID: 05B10
zbMATH DE Number: 981785
zbMATH Keywords: exponential diophantine equation
zbMATH Keywords: Pell's equation
zbMATH Keywords: difference sets
MaRDI profile type: Publication
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title: On the exponential diophantine equation \(x^ 2 = 2^{2a}k^{2m} - 2^{2a}k^{m+n} + 1\)
published in: Discussiones Mathematicae. Algebra and Stochastic Methods
review text: It is shown that the equation of the title, connected with some questions in combinatorial theory, has no positive integer solutions \((x,k,a,m,n)\) satisfying \(k>1\), \(2\nmid k\) and \(2n>m>n\).
reviewed by: Edward L. Cohen
description: scientific article; zbMATH DE number 981785