On Polynomial Solutions of Pell’s Equation

Hasan Sankari, Ahmad Abdo and Marco Fontana

Journal of Mathematics, 2021, vol. 2021, 1-4

Abstract: Polynomial Pell’s equation is x2−Dy2=±1, where D is a quadratic polynomial with integer coefficients and the solutions X,Y must be quadratic polynomials with integer coefficients. Let D=a2x2+a1x+a0 be a polynomial in Zx. In this paper, some quadratic polynomial solutions are given for the equation x2−Dy2=±1 which are significant from computational point of view.

Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2021/5379284.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2021/5379284.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:5379284

DOI: 10.1155/2021/5379284

Access Statistics for this article

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