关于不定方程（an-1）（bn-1）= X2解的研究
On the Diophantine Equation（an-1）（bn-1）= X2
DOI: 10.12677/pm.2011.13034, PDF, HTML, 下载: 3,452  浏览: 10,901  国家自然科学基金支持
作者: 吴磊*, 李召君：
关键词: 不定方程；Legendre符号
Diophantine Equation; Legendre Symbol
摘要: 2002年，F. Luca和P. G. Walsh研究了不定方程（an-1）（bn-1）= X2 在2≤b≤a≤100范围内的情况(除69种例外)。在本文中，我们研究了其中的两种例外。也就是，我们考虑的是不定方程（an-1）（bn-1）= X2 在（a,b）=（33，3）（33,9）时解的情况。
Abstract: In 2002, F. Luca and P. G. Walsh studied the diophantine equations of the form（an-1）（bn-1）= X2 , for all in the range with sixty-nine exceptions. In this paper, we study two of the exceptions. In fact, we consider the equations of the form （an-1）（bn-1）= X2 , with （a,b）=（33，3）（33,9） .
文章引用：吴磊, 李召君. 关于不定方程（an-1）（bn-1）= X2解的研究[J]. 理论数学, 2011, 1(3): 172-176. http://dx.doi.org/10.12677/pm.2011.13034

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