### 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.

Translated title of the contribution | The parity problem for irreducible polynomials |
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Original language | English |

Edition | In Preparation |

Publication status | Published - 2012 |

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## Cite this

Helfgott, HA. (Author). (2012). The parity problem for irreducible polynomials. Web publication/site http://arxiv.org/abs/math/0501177