English

The parity problem for irreducible cubic forms

Number Theory 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0501177,
  title  = {The parity problem for irreducible cubic forms},
  author = {H. A. Helfgott},
  journal= {arXiv preprint arXiv:math/0501177},
  year   = {2007}
}

Comments

11 pages