关于Pell方程x^2—2y^2=1与y^2-Dz^2=4的公解

On the Integer Solution of Pell's Equation x2-2y2=1 and y2-Dz2=4

设D=2kⅡi=1Pi，其中诸Pi是互异的奇素数，Pi≠（mod8）i=1，2，…k，证明了不定方程组x^2-2y^2=1与y^2-Dz^2=4仅有平凡解。

In this paper it is shown that, if D = 2Pi, where P_i(i =1,2,卥) are diverse odd primes, P_i (mod8) the simultaneous equations x~2- 2y~2=1 and y~2-Dz~2= 4 only have the integer solution (x,y,z) =(?3, ?, 0).