Solving conics over Q(t1,..,tk)

Research paper by Mark van Hoeij

Indexed on: 18 Oct '04Published on: 18 Oct '04Published in: Mathematics - Number Theory


Let K = Q(t1,..,tk) and a,b,c in K. We give a simple algorithm to find, if it exists, X,Y,Z in K, not all zero, for which aX^2 + bY^2 + cZ^2 = 0.