@article{(Open Science Index):https://publications.waset.org/pdf/7073, title = {The Pell Equation x2 − (k2 − k)y2 = 2t}, author = {Ahmet Tekcan}, country = {}, institution = {}, abstract = {Let k, t, d be arbitrary integers with k ≥ 2, t ≥ 0 and d = k2 - k. In the first section we give some preliminaries from Pell equations x2 - dy2 = 1 and x2 - dy2 = N, where N be any fixed positive integer. In the second section, we consider the integer solutions of Pell equations x2 - dy2 = 1 and x2 - dy2 = 2t. We give a method for the solutions of these equations. Further we derive recurrence relations on the solutions of these equations}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {2}, number = {7}, year = {2008}, pages = {424 - 428}, ee = {https://publications.waset.org/pdf/7073}, url = {https://publications.waset.org/vol/19}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 19, 2008}, }