The Fourier restriction and Kakeya problems over rings of integers modulo $N$
Discrete analysis (2018)
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arXiv
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.
Jonathan Hickman; James Wright. The Fourier restriction and Kakeya problems over rings of integers modulo $N$. Discrete analysis (2018). http://geodesic.mathdoc.fr/item/DAS_2018_a10/
@article{DAS_2018_a10,
author = {Jonathan Hickman and James Wright},
title = {The {Fourier} restriction and {Kakeya} problems over rings of integers modulo $N$},
journal = {Discrete analysis},
year = {2018},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DAS_2018_a10/}
}