On the size of Nikodym sets in finite fields
| dc.creator | Li, Liangpan | |
| dc.date | 2008-03-25 | |
| dc.date | 2008-04-26 | |
| dc.date.accessioned | 2026-07-07T09:35:07Z | |
| dc.date.available | 2026-07-07T09:35:07Z | |
| dc.description | Let $\mathbb{F}_q$ denote a finite field of $q$ elements. Define a set $B\subset\mathbb{F}_q^n$ to be Nikodym if for each $x\in B^{c}$, there exists a line $L$ such that $L\cap B^c=\{x\}.$ The main purpose of this note is to show that the size of every Nikodym set is at least $C_n\cdot q^n$, where $C_n$ depends only on $n$. | |
| dc.description | 4 pages | |
| dc.identifier | https://arxiv.org/abs/0803.3525 | |
| dc.identifier | http://arxiv.org/abs/0803.3525 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159728 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 11T99 | |
| dc.title | On the size of Nikodym sets in finite fields | |
| dc.type | text |