摘要
设a是大于1的整数,D是无平方因子正整数,本文运用Baker方法证明了:当a^2D>10^(24)时,方程a^2x^4-Dy^2=1至多有1组正整数解(x,y),而且此解满足log(ax^2+y(■)>(a(■)log a(■))/2。
Let a be an integer with a>1,and D be a positive integer with square free.ln this paper,with the application of the Baker method,we prove that if a^2D>10^(24),the equation a^2x^4-Dy^2=1 has at most one positive integer solution(x,y),and the solution satisfies log(ax^2+y(■))<(a(■)loga(■))/2.
出处
《长沙铁道学院学报》
CSCD
1991年第1期95-100,共6页
Journal of Changsha Railway University
关键词
不定方程
解数
BAKER方法
diophantine equation
number of solutions
upper bound of solutions
Baker′s method
