多变量形式的离散约束估计

IF 0.7 3区数学 Q2 MATHEMATICS

Proceedings of the Edinburgh Mathematical Society Pub Date : 2023-09-18 DOI:10.1017/s0013091523000366

Brian Cook, Kevin Hughes, Eyvindur Palsson

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引用次数: 0

摘要

摘要我们证明了Birch开创性工作中出现的一类广义超曲面的离散限制估计。为了做到这一点，我们使用了布尔甘的托马斯-斯坦方法的算术版本和马扎尔对超曲面上整数点的指示函数的傅里叶变换的分解。

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Discrete restriction estimates for forms in many variables

We prove discrete restriction estimates for a broad class of hypersurfaces arising in seminal work of Birch. To do so, we use a variant of Bourgain’s arithmetic version of the Tomas–Stein method and Magyar’s decomposition of the Fourier transform of the indicator function of the integer points on a hypersurface.

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来源期刊

Proceedings of the Edinburgh Mathematical Society 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Edinburgh Mathematical Society was founded in 1883 and over the years, has evolved into the principal society for the promotion of mathematics research in Scotland. The Society has published its Proceedings since 1884. This journal contains research papers on topics in a broad range of pure and applied mathematics, together with a number of topical book reviews.