On Point Sets in Vector Spaces over Finite Fields That Determine Only Acute Angle Triangles
| dc.creator | Shparlinski, Igor E. | |
| dc.date | 2009-03-14 | |
| dc.date.accessioned | 2026-07-07T12:52:41Z | |
| dc.date.available | 2026-07-07T12:52:41Z | |
| dc.description | For three points $\vec{u}$,$\vec{v}$ and $\vec{w}$ in the $n$-dimensional space $\F_q^n$ over the finite field $\F_q$ of $q$ elements we give a natural interpretation of an acute angle triangle defined by this points. We obtain an upper bound on the size of a set $\cZ$ such that all triples of distinct points $\vec{u}, \vec{v}, \vec{w} \in \cZ$ define acute angle triangles. A similar question in the real space $\cR^n$ dates back to P. Erd{\H o}s and has been studied by several authors. | |
| dc.identifier | https://arxiv.org/abs/0903.2520 | |
| dc.identifier | http://arxiv.org/abs/0903.2520 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223375 | |
| dc.subject | Number Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 05B25; 11T23; 52C10 | |
| dc.title | On Point Sets in Vector Spaces over Finite Fields That Determine Only Acute Angle Triangles | |
| dc.type | text |