Quartic Forms in Many Variables
Number Theory
2014-05-29 v1
Abstract
We show that a quartic -adic form with at least variables possesses a non-trivial zero. We also prove new results on systems of cubic, quadratic and linear forms. As an example, we show that for a system comprising two cubic forms variables are sufficient.
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Cite
@article{arxiv.1405.7064,
title = {Quartic Forms in Many Variables},
author = {Jan H. Dumke},
journal= {arXiv preprint arXiv:1405.7064},
year = {2014}
}
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8 pages