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On the Integer Solutions of the Pell Equation x2 - dy2 = 2t

Authors: Ahmet Tekcan, Betül Gezer, Osman Bizim


Let k ≥ 1 and t ≥ 0 be two integers and let d = k2 + k be a positive non-square integer. In this paper, we consider the integer solutions of Pell equation x2 - dy2 = 2t. Further we derive a recurrence relation on the solutions of this equation.

Keywords: Pell equation, Diophantine equation

Digital Object Identifier (DOI):

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