Solving some parametric quadratic Diophantine equation over Z and F-p

Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/25235

Title:	Solving some parametric quadratic Diophantine equation over Z and F-p
Authors:	Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Anabilim Dalı. Özkoç, Arzu Tekcan, Ahmet Cangül, İsmail Naci 24485340700 55883777900 57189022403
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
Issue Date:	Oct-2011
Publisher:	Elsevier Science
Citation:	Özkoç, A. vd. (2011). "Solving some parametric quadratic Diophantine equation over Z and F-p". Applied Mathematics and Computation, 218(3), 703-706.
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.
URI:	https://doi.org/10.1016/j.amc.2011.03.071 https://www.sciencedirect.com/science/article/pii/S0096300311004395 http://hdl.handle.net/11452/25235
ISSN:	0096-3003
Appears in Collections:	Scopus Web of Science

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