Some exponential diophantine equations .1. The equation D(1)x(2)-D(2)y(2)=lambda k(z)

[摘要] Let D be a non-square integer, and let D-1, D-2 be integers satisfying D1D2 = D, D-1>0 and gcd(D-1, D-2) = 1. Let k be an integer with \k\ > 1 and gcd(D, k) = 1. In this paper we give some explicit formulas for all integer solutions (x,y,z) of the equation D(1)x(2) - D(2)y(2) = lambda k(z), gcd(x, y) = 1, z > 0, where lambda is equal to 1 or 4 according as 2 inverted iota k or not. (C) 1995 Academic Press, Inc.

[发布日期] 1995-12-01