On the density version of quadratic Waring's problem and the quadratic Waring--Goldbach problem
Number Theory
2025-10-14 v3
Abstract
We prove a sharp density theorem for quadratic Waring's problem over cyclic groups, when the number of variables is at least . Also, we obtain some new improvements on the density version of the quadratic Waring--Goldbach problem over integers.
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Cite
@article{arxiv.2508.14939,
title = {On the density version of quadratic Waring's problem and the quadratic Waring--Goldbach problem},
author = {Zi Li Lim},
journal= {arXiv preprint arXiv:2508.14939},
year = {2025}
}
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31 pages