About Diophantine Equations z^2=(9\(\beta\)^2-4)y^2-(4\(\beta\)^2)
DOI:
https://doi.org/10.9734/bpi/ramrcs/v8/13257DKeywords:
diophantine equation, Horadam numbers, Markoff equation, Zhang solutionAbstract
We consider the diophantine equation z2=(9\(\beta\)2-4)y2-(4) and its solutions. The couples (Hn,Nn) where n \(\in\) \(\mathbb{N}\)* and Hn,Nn Horadam numbers built with a second order recurrence give solutions, not all of them. We show the link with Q-matrices, and with the conic relation.
Published
2022-02-11
How to Cite
Serge Perrine. (2022). About Diophantine Equations z^2=(9\(\beta\)^2-4)y^2-(4\(\beta\)^2). Recent Advances in Mathematical Research and Computer Science Vol. 8, 94–112. https://doi.org/10.9734/bpi/ramrcs/v8/13257D
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