广义马尔科夫方程的解

The Solutions of Generalized Markov Equation

本文证明了不定方程x^2＋y^2十y^2＝kxyz，当且仅当k＝1，3时有解（指正整数解，下同）．还证明了：K＝1时，方程的解是马尔科方程的解的3倍．

This paper proves the following results: (a) Only when k= 1 . 3, the incleterminataequation x2 +y2+z2=kxyz (1) 11as positive integer solutions. (b) When k=1, the solutionsof equation (1) are thered times of the solutions of Markow equation.