Publication: Solving some parametric quadratic Diophantine equation over Z and F-p
Date
Authors
Özkoç, Arzu
Tekcan, Ahmet
Cangül, İsmail Naci
Authors
Advisor
Language
Type
Publisher:
Elsevier Science
Journal Title
Journal ISSN
Volume Title
Abstract
Let t >= 2 be an integer. In this work, we consider the integer solutions to the Diophantine equation D: x(2) + (t - t(2))y(2) + (4 - 8t)x + (8t(2) - 8t)y + 3 = 0 over Z and over finite fields F-p for primes p >= 2, respectively. We also derive some algebraic identities related to the integer solutions of D including recurrence relations and continued fractions.
Description
Source:
Keywords:
Keywords
Mathematics, Diophantine equation, Pell equation, Integer solutions, Continued fraction, Finite fields, Finite element method, Continued fraction, Diophantine equation, Finite fields, Integer solutions, Pell equation, Integer programming
Citation
Özkoç, A. vd. (2011). "Solving some parametric quadratic Diophantine equation over Z and F-p". Applied Mathematics and Computation, 218(3), 703-706.