MMN-433

On the Diophantine equation $x^2 - kxy + y^2 + 2^n = 0$

Refik Keskin; Olcay Karaatlı; Zafer Siar;

Abstract

In this study, we determine when the equation in the title has an in…nite number of positive integer solutions x and y for 0  n  10: Moreover, we give all positive integer solutions of the same equation for 0  n  10:


Vol. 13 (2012), No. 2, pp. 375-388
DOI: https://doi.org/10.18514/MMN.2012.433


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