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The parity problem for irreducible cubic forms

H. A. Helfgott
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Abstract

Let f\in \mathbb{Z}[x,y] be an irreducible homogeneous 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. 2005-01-12. The parity problem for irreducible cubic forms. https://arxiv.org/abs/math/0501177

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