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 |
| Language: | English |
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Wiley
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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| author | Hasan Sankari Ahmad Abdo |
| author_facet | Hasan Sankari Ahmad Abdo |
| author_sort | Hasan Sankari |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-4016799d75f544a5994aa55b73e69c90 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-4016799d75f544a5994aa55b73e69c902025-02-03T07:24:00ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/53792845379284On Polynomial Solutions of Pell’s EquationHasan Sankari0Ahmad Abdo1Tishreen University, Faculty of Science, Department of Mathematics, Lattakia, SyriaTartous University, Faculty of Science, Department of Mathematics, Tartous, SyriaPolynomial 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 |
| spellingShingle | Hasan Sankari Ahmad Abdo On Polynomial Solutions of Pell’s Equation Journal of Mathematics |
| title | 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_short | On Polynomial Solutions of Pell’s Equation |
| title_sort | on polynomial solutions of pell s equation |
| url | http://dx.doi.org/10.1155/2021/5379284 |
| work_keys_str_mv | AT hasansankari onpolynomialsolutionsofpellsequation AT ahmadabdo onpolynomialsolutionsofpellsequation |