INTEGRAL SOLUTIONS OF THE SYSTEM a(x~2 - y~2) + N_1~2 = u~2, b(x~2 - y~2) + N_2~2 = v~2

摘要

A method to obtain integral solutions of the system of two binary quadratic equations a(x~2 - y~2) + N_1~2 = u~2, b(x~2 - y~2) + N_2~2 = v~2 is given, when the product ab is a square-free integer.