The Polynomial Solutions of Quadratic Diophantine Equation X2−ptY2+2KtX+2ptLtY = 0

Hasan Sankari, Ahmad Abdo and Carmelo Antonio Finocchiaro

Journal of Mathematics, 2021, vol. 2021, 1-6

Abstract: In this study, we consider the number of polynomial solutions of the Pell equation x2−pty2=2 is formulated for a nonsquare polynomial pt using the polynomial solutions of the Pell equation x2−pty2=1. Moreover, a recurrence relation on the polynomial solutions of the Pell equation x2−pty2=2. Then, we consider the number of polynomial solutions of Diophantine equation E: X2−ptY2+2KtX+2ptLtY=0. We also obtain some formulas and recurrence relations on the polynomial solution Xn,Yn of E.

Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2021/7464950.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2021/7464950.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7464950

DOI: 10.1155/2021/7464950

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().