$p$-adic Zeros of Quintic Forms
Number Theory
2014-08-19 v4
Abstract
It is shown that a quintic form over a p-adic field with at least 26 variables has a non-trivial zero, providing that the cardinality of the residue class field exceeds 9.
Keywords
Cite
@article{arxiv.1308.0999,
title = {$p$-adic Zeros of Quintic Forms},
author = {Jan H. Dumke},
journal= {arXiv preprint arXiv:1308.0999},
year = {2014}
}
Comments
Minor corrections