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arxiv: math/0410372 · v1 · submitted 2004-10-18 · 🧮 math.NT

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

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keywords algorithmconicsexistsfindgivesimplesolvingzero
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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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