On the Diophantine System x2−Dy2=1−D and x=2z2−1

Authors

  • Maohua Le

DOI:

https://doi.org/10.7146/math.scand.a-14455

Abstract

Let D be a positive integer such that D−1 is an odd prime power. In this paper we give an elementary method to find all positive integer solutions (x,y,z) of the system of equations x2−Dy2=1−D and x=2z2−1. As a consequence, we determine all solutions of the equations for D=6 and 8.

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Published

2004-12-01

How to Cite

Le, M. (2004). On the Diophantine System x2−Dy2=1−D and x=2z2−1. MATHEMATICA SCANDINAVICA, 95(2), 171–180. https://doi.org/10.7146/math.scand.a-14455

Issue

Vol. 95 No. 2 (2004)

Section

Articles