The Diophantine equation x2 - (t2 + t)y2 - (4t + 2)x + (4t2 + 4t)y = 0

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The Diophantine equation x2 - (t2 + t)y2 - (4t + 2)x + (4t2 + 4t)y = 0

dc.contributor.buuauthor	Tekcan, Ahmet
dc.contributor.buuauthor	Özkoç, Arzu
dc.contributor.department	Fen Edebiyat Fakültesi
dc.contributor.department	Matematik Bölümü
dc.contributor.researcherid	AAH-8518-2021
dc.contributor.scopusid	55883777900
dc.contributor.scopusid	24485340700
dc.date.accessioned	2022-08-26T06:33:41Z
dc.date.available	2022-08-26T06:33:41Z
dc.date.issued	2010-01
dc.description.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 F-p for primes p >= 5.
dc.identifier.citation	Tekcan, 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.
dc.identifier.endpage	260
dc.identifier.issn	1139-1138
dc.identifier.issn	1988-2807
dc.identifier.issue	1
dc.identifier.scopus	2-s2.0-77949911378
dc.identifier.startpage	251
dc.identifier.uri	https://doi.org/10.1007/s13163-009-0009-8
dc.identifier.uri	https://link.springer.com/article/10.1007/s13163-009-0009-8
dc.identifier.uri	http://hdl.handle.net/11452/28383
dc.identifier.volume	23
dc.identifier.wos	000273040400014
dc.indexed.wos	SCIE
dc.language.iso	en
dc.publisher	Springer-Verlag
dc.relation.journal	Revista Matematica Complutense
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Diophantine equation
dc.subject	Pell equation
dc.subject	Mathematics
dc.subject.scopus	Real Quadratic Fields; Pell's Equation; Number Field
dc.subject.wos	Mathematics, applied
dc.subject.wos	Mathematics
dc.title	The Diophantine equation x2 - (t2 + t)y2 - (4t + 2)x + (4t2 + 4t)y = 0
dc.type	Article
dc.wos.quartile	Q2 (Mathematics)
dc.wos.quartile	Q3 (Mathematics, applied)
dspace.entity.type	Publication
local.contributor.department	Fen Edebiyat Fakültesi/Matematik Bölümü
local.indexed.at	Scopus
local.indexed.at	WOS