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

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

dc.contributor.buuauthor	Özkoç, Arzu
dc.contributor.buuauthor	Tekcan, Ahmet
dc.contributor.buuauthor	Cangül, İsmail Naci
dc.contributor.department	Fen Edebiyat Fakültesi
dc.contributor.department	Matematik Ana Bilim Dalı
dc.contributor.scopusid	24485340700
dc.contributor.scopusid	55883777900
dc.contributor.scopusid	57189022403
dc.date.accessioned	2022-03-21T12:23:06Z
dc.date.available	2022-03-21T12:23:06Z
dc.date.issued	2011-10
dc.description.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.
dc.identifier.citation	Özkoç, A. vd. (2011). "Solving some parametric quadratic Diophantine equation over Z and F-p". Applied Mathematics and Computation, 218(3), 703-706.
dc.identifier.endpage	706
dc.identifier.issn	0096-3003
dc.identifier.issue	3
dc.identifier.scopus	2-s2.0-80052263789
dc.identifier.startpage	703
dc.identifier.uri	https://doi.org/10.1016/j.amc.2011.03.071
dc.identifier.uri	https://www.sciencedirect.com/science/article/pii/S0096300311004395
dc.identifier.uri	http://hdl.handle.net/11452/25235
dc.identifier.volume	218
dc.identifier.wos	000294298400013
dc.indexed.wos	SCIE
dc.language.iso	en
dc.publisher	Elsevier Science
dc.relation.bap	UAP (F)-2010/55
dc.relation.bap	2006/40
dc.relation.bap	2008/31
dc.relation.bap	2008/54
dc.relation.journal	Applied Mathematics and Computation
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	Mathematics
dc.subject	Diophantine equation
dc.subject	Pell equation
dc.subject	Integer solutions
dc.subject	Continued fraction
dc.subject	Finite fields
dc.subject	Finite element method
dc.subject	Continued fraction
dc.subject	Diophantine equation
dc.subject	Finite fields
dc.subject	Integer solutions
dc.subject	Pell equation
dc.subject	Integer programming
dc.subject.scopus	Real Quadratic Fields; Pell's Equation; Number Field
dc.subject.wos	Mathematics, applied
dc.title	Solving some parametric quadratic Diophantine equation over Z and F-p
dc.type	Article
dc.wos.quartile	Q1
dspace.entity.type	Publication
local.contributor.department	Fen Edebiyat Fakültesi/Matematik Ana Bilim Dalı
local.indexed.at	Scopus
local.indexed.at	WOS