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.
| Original language | English |
|---|---|
| Pages (from-to) | 1-54 |
| Number of pages | 54 |
| Journal | Discrete Analysis |
| Volume | N/A |
| DOIs | |
| Publication status | Published - 30 May 2018 |
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Dive into the research topics of 'The Fourier restriction and Kakeya problems over rings of integers modulo N'. Together they form a unique fingerprint.Profiles
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Jonathan Hickman
- School of Mathematics - Lecturer in Mathematical Sciences
Person: Academic: Research Active (Teaching)