On the Diophantine Equation�x^2-kxy+ly^2+my=0
Full Metadata
| Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | Supawadee Prugsapitak | - |
| dc.contributor.author | Nattaporn Thongngam | - |
| dc.contributor.department | ?????????????? | - |
| dc.contributor.department | Faculty of Science | - |
| dc.date.accessioned | 2025-05-16 19:25 | - |
| dc.date.accessioned | 2026-02-11T02:42:56Z | - |
| dc.date.available | 2025-05-16 19:25 | - |
| dc.date.issued | 2025 | - |
| dc.description | ?????????,??????????,2568 | - |
| dc.description.abstract | In this study, we determine all values of positive integer k for which the equations x^2-kxy+ky^2+2^ny=0, n\in {3,4,5,6,7} and x^2-kxy+ky^2+3^ny=0, n\in {1,2,3} have infinitely many positive integer solutions x and y. Furthermore, we investigate the values of positive integer k such that the Diophantine equation x^2-kxy+y^2+mkx=0 where m\in {1,2,3,5}, has infinitely many positive integer solutions x and y. | - |
| dc.description.abstract | ???????????????? ????????????????????????????????? k ??????????????????????????????? x^2-kxy+ky^2+2^ny=0, n\in {3,4,5,6,7} ??? x^2-kxy+ky^2+3^ny=0, n\in {1,2,3} ???????????????????? x ??? y ???????????????? ????????? ????????????????? k ???????????????????????? x^2-kxy+y^2+mkx=0 ?????? m\in {1,2,3,5} ???????????????????? x ??? y ???????????????? | - |
| dc.identifier.uri | https://kb.psu.ac.th/handle/2025/20155 | - |
| dc.language.iso | en | - |
| dc.publisher | Prince of Songkla University | - |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Thailand | - |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/th/ | - |
| dc.subject | Diophantine Equations | - |
| dc.subject | Pell Equation | - |
| dc.subject | Quadratic Diophantine Equation | - |
| dc.title | On the Diophantine Equation�x^2-kxy+ly^2+my=0 | - |
| dc.title.alternative | On the Diophantine Equation�x^2-kxy+ly^2+my=0 | - |
| dc.type | Thesis | - |
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