关于丢番图方程x^(m_1/n_1)+y^(m_2/n_2)=z^(m_3/n_3)

On the Diophantine Equation x^(m_1/n_1)+y^(m_2/n_2)=z^(m_3/n_3)

用初等方法讨论了丢番图方程 xm1n1 + ym2n2 =zm3n3 ,完全解决了 m1 =m2 =m3 =s≥ 2时方程的解的问题 .

In this paper,We study the solution of the Diophantine equation x m 1n 1+y m 2n 2=z m 3n 3,and the solution is given when m 1=m 2=m 3=s≥2.