中文

The parity problem for reducible cubic forms

数论 2007-05-23 v4

摘要

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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引用

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

备注

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