Lattice points in stretched finite type domains

J. Guo; T. Jiang

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arXiv · 2111.06244

Lattice points in stretched finite type domains

J. Guo·T. Jiang

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Abstract

We study an optimal stretching problem, which is a variant lattice point problem, for convex domains in $\mathbb{R}^d$ ($d\geq 2$) with smooth boundary of finite type that are symmetric with respect to each coordinate hyperplane/axis. We prove that optimal domains which contain the most positive (or least nonnegative) lattice points are asymptotically balanced.

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BibTeX RIS

J. Guo, T. Jiang. 2021-11-11. Lattice points in stretched finite type domains. https://arxiv.org/abs/2111.06244

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