Abstract
We make more accessible a neglected continued fraction algorithm of Lagrange for solving the equation at2 + btu + cu2 = n in relatively prime integers t, u, where a> 0, gcd(a,n) = 1, and D = b2 - 4ac < 0. The cases D = -4 and D = -3 present a consecutive convergents phenomenon which aids the search for solutions.
Original language | English |
---|---|
Article number | 14.11.1 |
Journal | Journal of Integer Sequences |
Volume | 17 |
Issue number | 11 |
Publication status | Published - 5 Nov 2014 |