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arXiv · 1801.03176

The Fourier restriction and Kakeya problems over rings of integers modulo $N$

Jonathan Hickman·James Wright
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Abstract

The Fourier restriction phenomenon and the size of Kakeya sets are explored in the setting of the ring of integers modulo $N$ for general $N$ and a striking similarity with the corresponding euclidean problems is observed. One should contrast this with known results in the finite field setting.

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Jonathan Hickman, James Wright. 2018-01-09. The Fourier restriction and Kakeya problems over rings of integers modulo $N$. https://arxiv.org/abs/1801.03176

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