{"title":"The Pell Equation x2 \u2212 (k2 \u2212 k)y2 = 2t","authors":"Ahmet Tekcan","country":null,"institution":"","volume":19,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":424,"pagesEnd":429,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/7073","abstract":"Let k, t, d be arbitrary integers with k \u2265 2, t \u2265 0 and\nd = k2 - k. In the first section we give some preliminaries from\nPell equations x2 - dy2 = 1 and x2 - dy2 = N, where N be any\nfixed positive integer. In the second section, we consider the integer\nsolutions of Pell equations x2 - dy2 = 1 and x2 - dy2 = 2t. We\ngive a method for the solutions of these equations. Further we derive\nrecurrence relations on the solutions of these equations","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 19, 2008"}