2022-08-262022-08-262010-01Tekcan, A. ve Özkoç, A. (2010). "The Diophantine equation x2 - (t2 + t)y2 - (4t + 2)x + (4t2 + 4t)y = 0". Revista Matematica Complutense, 23(1), 251-260.1139-11381988-2807https://doi.org/10.1007/s13163-009-0009-8https://link.springer.com/article/10.1007/s13163-009-0009-8http://hdl.handle.net/11452/28383Let t >= 1 be an integer. In this work, we consider the number of integer solutions of Diophantine equation x(2) - (t(2) + t)y(2) - (4t + 2)x + (4t(2) + 4t)y = 0 over Z and also over finite fields F-p for primes p >= 5.eninfo:eu-repo/semantics/openAccessDiophantine equationPell equationMathematicsArticle0002730404000142-s2.0-77949911378251260231Mathematics, appliedMathematicsReal Quadratic Fields; Pell's Equation; Number Field