On Polynomial Solutions of Pell’s Equation
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 x...
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| Format: | Article |
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Hindawi Limited
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5379284 |
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doaj-4016799d75f544a5994aa55b73e69c902021-08-23T01:32:48ZengHindawi LimitedJournal of Mathematics2314-47852021-01-01202110.1155/2021/5379284On Polynomial Solutions of Pell’s EquationHasan Sankari0Ahmad Abdo1Tishreen UniversityTartous UniversityPolynomial 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.http://dx.doi.org/10.1155/2021/5379284 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hasan Sankari Ahmad Abdo |
| spellingShingle |
Hasan Sankari Ahmad Abdo On Polynomial Solutions of Pell’s Equation Journal of Mathematics |
| author_facet |
Hasan Sankari Ahmad Abdo |
| author_sort |
Hasan Sankari |
| title |
On Polynomial Solutions of Pell’s Equation |
| title_short |
On Polynomial Solutions of Pell’s Equation |
| title_full |
On Polynomial Solutions of Pell’s Equation |
| title_fullStr |
On Polynomial Solutions of Pell’s Equation |
| title_full_unstemmed |
On Polynomial Solutions of Pell’s Equation |
| title_sort |
on polynomial solutions of pell’s equation |
| publisher |
Hindawi Limited |
| series |
Journal of Mathematics |
| issn |
2314-4785 |
| publishDate |
2021-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2021/5379284 |
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