Abstract
AbstractIn this paper we prove that decomposable forms, or homogeneous polynomials F(x1, . . . , xn) with integer coefficients that split completely into linear factors over , take on infinitely many square-free values subject to simple necessary conditions, and they have deg f ≤ 2n + 2 for all irreducible factors f of F. This work generalizes a theorem of Greaves.
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