English

Zeros of p-adic forms

Number Theory 2009-11-26 v1

Abstract

We show that all pp-adic quintic forms in at least n>4562911n>4562911 variables have a non-trivial zero. We also derive new result concerning systems of cubic and quadratic forms.

Keywords

Cite

@article{arxiv.0807.2079,
  title  = {Zeros of p-adic forms},
  author = {Jahan Zahid},
  journal= {arXiv preprint arXiv:0807.2079},
  year   = {2009}
}

Comments

23 pages

R2 v1 2026-06-21T11:00:05.870Z