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

Jonathan Hickman; James Wright

doi:10.19086/da.3682

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

Jonathan Hickman, James Wright

School of Mathematics

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Abstract / Description of output

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.

Original language	English
Pages (from-to)	1-54
Number of pages	54
Journal	Discrete Analysis
Volume	N/A
DOIs	https://doi.org/10.19086/da.3682
Publication status	Published - 30 May 2018

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10.19086/da.3682

1801.03176Accepted author manuscript, 635 KB

Jonathan Hickman
- School of Mathematics - Reader
Person: Academic: Research Active (Teaching)
James Wright
- School of Mathematics - Chair in Mathematical Analysis
Person: Academic: Research Active

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

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Jonathan Hickman

James Wright

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