On the density version of quadratic Waring's problem and the quadratic Waring--Goldbach problem

Zi Li Lim

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arXiv · 2508.14939

On the density version of quadratic Waring's problem and the quadratic Waring--Goldbach problem

Zi Li Lim

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Abstract

We prove a sharp density theorem for quadratic Waring's problem over cyclic groups, when the number of variables is at least $5$. Also, we obtain some new improvements on the density version of the quadratic Waring--Goldbach problem over integers.

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Zi Li Lim. 2025-08-20. On the density version of quadratic Waring's problem and the quadratic Waring--Goldbach problem. https://arxiv.org/abs/2508.14939

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