两类不定方程x^3-y^3=Dz^2(D∈Z)的解

Integer Special Solution on the Diophantine Equation x^3-y^3= Dz^2(D ∈Z)

给出当D为两类不同偶数形式时不定方程x^3-y^3=Dz^2(D∈Z)整数特解形式,然后,给出D为某些奇数时,不定方程x^3-y^3=Dz^2(D∈Z)整数特解求法,最后根据定理1给出一些不定方程x^3-y^3=Dz^2(D∈Z)整数特解.

This paper gives an integer special solution for an indefinite equation x3-y3=Dz2(D∈Z),When D are two classes of different even number forms;and gives an integer special solution for an indefinite equation x3-y3=Dz2(D∈Z),When D are some odd numbers;Finally,according to theorem 1,given some integer solutions of the indeterminate equations x3-y3=Dz2(D∈Z).