Mark van Hoeij

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Mark van Hoeij

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.

K. Belabas, M. van Hoeij, J. Klueners +1

Let K be a global field and f in K[X] be a polynomial. We present an efficient algorithm which factors f in polynomial time.