ON THE DIOPHANTINE EQUATION (an)x+ (bn)y= (cn)z
Volume: 52, Issue: 4, Pages: 1133 - 1138
Published: Jul 31, 2015
Abstract
In 1956, Je{\acute{s}}manowicz/TEX> conjectured that, for any positive integer n and any primitive Pythagorean triple (a, b, c) with a^2+b^2=c^2/TEX>, the equation (an)^x+(bn)^y=(cn)^z/TEX> has the unique solution (x, y, z) = (2, 2, 2). In this paper, under some conditions, we prove the conjecture for the primitive Pythagorean triples...
Paper Details
Title
ON THE DIOPHANTINE EQUATION (an)x+ (bn)y= (cn)z
Published Date
Jul 31, 2015
Volume
52
Issue
4
Pages
1133 - 1138
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