不定方程组{11x^2-9y^2=2,40y^2-11z^2=29}的正整数解的上界  

On the Upper Bound for the Positive Integer Solutions of the System of Diophantine Equations {11x^2-9y^2=2,40y^2-11z^2=29}

作　　者：郑兆顺[1] 

机构地区：[1]濮阳职业技术学院数学与信息工程系,河南濮阳457000

出　　处：《数学的实践与认识》2008年第11期210-214,共5页Mathematics in Practice and Theory

摘　　要：运用Baker方法得到了不定方程组{11x^2-9y^2=2,40y^2-11z^2=29}的正整数解的上界.上界为(x,y,z)=(0.9×2118406,2118406,0.52×2118406).By Baker＇s method, this paper solutes the upper bound for the positive integer solutions of the system of Diophantine equations{11x^2-9y^2=2 40y^2-11z^2=29, and the upper bounds are （x,y,z）=（0.9×21^18^406,21^18^406,0.52×21^18^406）.

关 键 词：不定方程组 解的上界 BAKER方法 

分 类 号：O156[理学—数学]