Sums of Cubes in Quaternion Rings
Number Theory
2019-10-08 v1
Abstract
We investigate a version of Waring's Problem over quaternion rings, focusing on cubes in quaternion rings with integer coefficients. We determine the global upper and lower bounds for the number of cubes necessary to represent all such quaternions.
Cite
@article{arxiv.1910.02485,
title = {Sums of Cubes in Quaternion Rings},
author = {Madison Gamble and Spencer Hamblen and Blake Schildhauer and Chung Truong},
journal= {arXiv preprint arXiv:1910.02485},
year = {2019}
}