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}

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）.