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The parity problem for reducible cubic forms

H. A. Helfgott
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Abstract

Let f in Z[x,y] be a reducible homoegeneous polynomial of degree 3. We show that f(x,y) has an even number of prime factors as often as an odd number of prime factors.

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H. A. Helfgott. 2005-09-26. The parity problem for reducible cubic forms. https://arxiv.org/abs/math/0408142

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