The Fourier restriction and Kakeya problems over rings of integers modulo $N$
Classical Analysis and ODEs
2018-05-30 v2
Abstract
The Fourier restriction phenomenon and the size of Kakeya sets are explored in the setting of the ring of integers modulo for general and a striking similarity with the corresponding euclidean problems is observed. One should contrast this with known results in the finite field setting.
Keywords
Cite
@article{arxiv.1801.03176,
title = {The Fourier restriction and Kakeya problems over rings of integers modulo $N$},
author = {Jonathan Hickman and James Wright},
journal= {arXiv preprint arXiv:1801.03176},
year = {2018}
}