Wednesday, 21 July 2010

nt.number theory - Products of linear forms in 3 variables

This should be a comment to Robin's answer.



Take any irreducible polynomial finmathbbQ[x] of degree 3 with real roots, say alpha,beta,gamma. Set f1=x+alphay+alpha2z, f2=x+betay+beta2z, f3=x+gammay+gamma2z.



You can find plenty of polynomials here.

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