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

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

2004-10-18

arxiv.org/abs/math/0410372v1

Mathematics

Number Theory

8 pages

Scientific paper

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.

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