文章基本信息

标题：On Polynomial Solutions of Quadratic Diophantine Equation
本地全文：下载
作者：Manju Somanath ; J. Kannan ; K. Raja 等
期刊名称：International Journal of Innovative Research in Science, Engineering and Technology
印刷版ISSN：2347-6710
电子版ISSN：2319-8753
出版年度：2017
卷号：6
期号：9
页码：18351
DOI：10.15680/IJIRSET.2017.0609122
出版社：S&S Publications
摘要：Let 􀡼 ≔ 􀡼(􀢚) be a polynomial in 􀢆[􀢄]. In this paper, we consider the polynomial solutions ofDiophantine equation 􀡰: 􀢝􀫛 − 􀫜􀫙􀢠􀫛 − 􀫡􀢝 − 􀫚􀫡􀫙􀢠 − 􀫛􀫠􀫙 = 􀫙. We also obtain some formulae and recurrence relationson the polynomial solution (􀝓􀯡 , 􀝖􀯡) of 􀜦.
关键词：Diophantine equation; Polynomial solution; Pell’s equation; Continued fraction expansion.