Pell方程的一个新性质和应用

A New Proposition of Pell's Equation and its Applications

本文通过对Ｐｅｌｌ方程的进一步研究得到了一个新且深刻的性质，由此完全解决了以下形式的不定方程这里ａ为给定的正整数，ｘ＞１，ｂ，ｙ＞０，ｔ＞０，ｎ＞１为整数多变量，且当ｃ＝２或４时，２ａ．

in this paper we get a new and deep proposition by studying Pell's equation further. With this, we can completely solve the following diophantine equation where a, x are given integers, x>1, b, y>0, t>0, n>0 areintegral parameters, and if c = 2 or 4, let 2 a.