Quadratic diophantine equation x2 - (t2 - t)y2 - (4t - 2)x+(4t2 - 4t)y = 0

Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/28714

Title:	Quadratic diophantine equation x2 - (t2 - t)y2 - (4t - 2)x+(4t2 - 4t)y = 0
Authors:	Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü. Özkoç, Arzu Tekcan, Ahmet AAH-8518-2021 24485340700 55883777900
Keywords:	Diophantine equation Pell equation Mathematics
Issue Date:	2010
Publisher:	Malaysian Mathematical Sciences
Citation:	Özkoç, A. ve Tekcan, A. (2010). "Quadratic diophantine equation x2 - (t2 - t)y2 - (4t - 2)x+(4t2 - 4t)y = 0". Bulletin of the Malaysian Mathematical Sciences Society, 33(2), 273-280.
Abstract:	Let t >= 2 be an integer. In this work, we consider the number of integer solutions of Diophantine equation D : x(2) - (t(2) - t)y(2) - (4t - 2)x + (4t(2) - 4t)y = 0 over Z. We also derive some recurrence relations on the integer solutions (x(n), y(n)) of D. In the last, section, we consider the same problem over finite fields F-p for primes p >= 5.
URI:	http://hdl.handle.net/11452/28714
ISSN:	0126-6705 2180-4206
Appears in Collections:	Scopus Web of Science

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