Uniform bounds in Waring's problem over some diagonal forms
Number Theory
2020-10-29 v1
Abstract
We investigate the existence of representations of every large positive integer as a sum of -th powers of integers represented as certain diagonal forms. In particular, we consider a family of diagonal forms and discuss the problem of giving a uniform upper bound over the family for the number of variables needed to have such representations.
Cite
@article{arxiv.2010.14567,
title = {Uniform bounds in Waring's problem over some diagonal forms},
author = {Javier Pliego},
journal= {arXiv preprint arXiv:2010.14567},
year = {2020}
}
Comments
24 pages