Zeros of p-adic forms
Number Theory
2014-02-26 v2
Abstract
A variant of Brauer's induction method is developed. It is shown that quartic p-adic forms with at least 9127 variables have non-trivial zeros, for every p. For odd p considerably fewer variables are needed. There are also subsidiary new results concerning quintic forms, and systems of forms.
Keywords
Cite
@article{arxiv.0805.0534,
title = {Zeros of p-adic forms},
author = {D. R. Heath-Brown},
journal= {arXiv preprint arXiv:0805.0534},
year = {2014}
}
Comments
Misprints and other errors corrected, leading to a small improvement