On simultaneous Pell equations x(2) - (a(2)-1)y(2)=1 and y(2) - pz(2)=1

Qu, YY

Qu, YY (reprint author), Guizhou Normal Univ, Sch Math Sci, Guiyang 550001, Guizhou, Peoples R China.

JOURNAL OF NUMBER THEORY, 2018; 184 (): 128

Abstract

Let p be a prime number. In this paper, for the simultaneous Pell equations x(2) - (a(2) - 1)y(2) = 1 and y(2) - pz(2) = 1, we prove that there is no ......

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