【摘要】 用渐近连分数的性质和Pell方程的解类特点,得到了指数丢番图方程x2+Ax+B=yn-1/y-1的解(x,y,n)的性质及其较为精确的上界,证明了y<C1(A,B)n+C2(A,B),这里C1(A,B),C2(A,B)是仅与A,B有关的可有效计算的常数.更多还原

【Abstract】 By using the new results of continued fractions and Pell equation,a general result on the solutions of Diophantine equation x2+Ax+B=yn-1/y-1 is given,and it is prove that if(x,y,n) is a solution of equation(3),then y<C1(A,B)n+C2(A,B),where C1(A,B),C2(A,B) are effectively computable constants with A,B.更多还原