English

The parity problem for reducible cubic forms

Number Theory 2007-05-23 v4

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.

Keywords

Cite

@article{arxiv.math/0408142,
  title  = {The parity problem for reducible cubic forms},
  author = {H. A. Helfgott},
  journal= {arXiv preprint arXiv:math/0408142},
  year   = {2007}
}

Comments

22 pages, gap in section 2.5 fixed; minor changes elsewhere