Revista Matemática Complutense

, 23:251

The Diophantine equation x 2−(t 2+t)y 2−(4t+2)x+(4t 2+4t)y=0

Authors

    • Faculty of Science, Department of MathematicsUludag University
  • Arzu Özkoç
    • Faculty of Science, Department of MathematicsUludag University
Open AccessArticle

DOI: 10.1007/s13163-009-0009-8

Cite this article as:
Tekcan, A. & Özkoç, A. Rev Mat Complut (2010) 23: 251. doi:10.1007/s13163-009-0009-8

Abstract

Let 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 \(\mathbb{F}_{p}\) for primes p≥5.
Diophantine equation Pell equation

Mathematics Subject Classification (2000)

11D09 11D41 11D45

Copyright information

© The Author(s) 2009