A Universal Quaternary Quadratic Form over Gaussian Integers
Number Theory
2014-05-12 v2
Abstract
In this article we show that the form represents all gaussian integers. The main tools used in this proof are Fermat's little theorem (over finite field extensions), the Mordell-Niven theorem (representation of some gaussians), and the generalized Euler-identity over finite field extensions.
Keywords
Cite
@article{arxiv.1310.6293,
title = {A Universal Quaternary Quadratic Form over Gaussian Integers},
author = {Felix Sidokhine},
journal= {arXiv preprint arXiv:1310.6293},
year = {2014}
}