On the Waring-Goldbach problem for seventh and higher powers
Number Theory
2017-07-31 v1
Abstract
We apply recent progress on Vinogradov's mean value theorem to improve bounds for the function in the Waring-Goldbach problem. We obtain new results for all exponents , and in particular establish that for large one has
Keywords
Cite
@article{arxiv.1602.08592,
title = {On the Waring-Goldbach problem for seventh and higher powers},
author = {Angel V. Kumchev and Trevor D. Wooley},
journal= {arXiv preprint arXiv:1602.08592},
year = {2017}
}