Solubility of Additive Sextic Forms over $\mathbb{Q}_2(\sqrt{-1})$ and $\mathbb{Q}_2(\sqrt{-5})$
Number Theory
2021-01-01 v2
Abstract
Michael Knapp, in a previous work, conjectured that every additive sextic form over and in seven variables has a nontrivial zero. In this paper, we show that this conjecture is true, establishing that .
Keywords
Cite
@article{arxiv.2005.09770,
title = {Solubility of Additive Sextic Forms over $\mathbb{Q}_2(\sqrt{-1})$ and $\mathbb{Q}_2(\sqrt{-5})$},
author = {Drew Duncan and David B. Leep},
journal= {arXiv preprint arXiv:2005.09770},
year = {2021}
}