Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

Simultaneous Pellian equations

R. G. E. Pincha1

a1 Emmanuel College, Cambridge CB2 3AP

In this paper we describe a method for finding integer solutions of simultaneous Pellian equations, that is, integer triples (x, y, z) satisfying equations of the form

S0305004100064598_eqn001

where the coefficients a, b, c, d, f are integers and we assume that a, c, and ac are not square.

(Received January 13 1987)

(Revised April 13 1987)