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On the determination of solutions of simultaneous Pell equations $$x^{2}-(a^{2}-1)y^{2}=y^{2}-pz^{2}=1$$ x 2 - ( a 2 - 1 ) y 2 = y 2 - p z 2 = 1 |
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| Authors: | Keskin Refik Karaatlı Olcay Şiar Zafer Öğüt Ümmügülsüm |
| Institution: | 1.Faculty of Arts and Science, Department of Mathematics, Sakarya University, Adapazar?, Sakarya, Turkey ;2.Faculty of Arts and Science, Department of Mathematics, Bing?l University, Bing?l, Turkey ; |
| Abstract: | Periodica Mathematica Hungarica - In this paper, we consider the simultaneous Pell equations 0.1 $$\begin{aligned} x^{2}-(a^{2}-1)y^{2}= & {} 1, \nonumber \\ y^{2}-pz^{2}= & {} 1,... |
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