The asymptotic formula in Waring's problem: higher order expansions
Number Theory
2022-11-21 v1
Abstract
When k > 1 and s is sufficiently large in terms of k, we derive an explicit multi-term asymptotic expansion for the number of representations of a large natural number as the sum of s positive integral k-th powers.
Keywords
Cite
@article{arxiv.1309.0443,
title = {The asymptotic formula in Waring's problem: higher order expansions},
author = {Robert C. Vaughan and Trevor D. Wooley},
journal= {arXiv preprint arXiv:1309.0443},
year = {2022}
}