The diophantine equation (an-1)(bn-1)=x2

J. Cohn

doi:10.1023/a:1019688312555

Jump to Content Jump to Main Navigation

Periodica Mathematica Hungarica

Volume/Issue:: Volume 44: Issue 2

The diophantine equation (aⁿ-1)(bⁿ-1)=x²

Author: J. Cohn¹

View More View Less

¹ Royal Holloway University of London Department of Mathematics Egham, Surrey TW20 0EX United Kingdom Egham, Surrey TW20 0EX United Kingdom

DOI:: https://doi.org/10.1023/a:1019688312555

Page Count:: 169–175

Publication Date:: 01 Jun 2002

Online Publication Date:: 30 Oct 2004

Article Category:: Research Article

Restricted access

Check for updates

Abstract

Let a and b given unequal positive integers; it is desired to determine the positive integer solutions n and x of the equation of the title. Some special cases have recently been considered, and here some general results and conjectures are presented.