TY - JOUR

T1 - On point sets in vector spaces over finite fields that determine only acute angle triangles

AU - Shparlinski, Igor E.

N1 - Copyright 2010 Australian Mathematical Publishing Association Inc. Published by Cambridge University Press. Article originally published in Bulletin of the Australian Mathematical Society, vol. iss. 1, pp. 114-120. The original article can be found at http://dx.doi.org/10.1017/S0004972709000719

PY - 2010/2

Y1 - 2010/2

N2 - For three points U, v and w in the n-dimensional space Fnq over the finite field Fq of q elements we give a natural interpretation of an acute angle triangle defined by these points. We obtain an upper bound on the size of a set Z such that all triples of distinct points u, v, W ε Z define acute angle triangles. A similar question in the real space Rn dates back to P.Erds and has been studied by several authors.

AB - For three points U, v and w in the n-dimensional space Fnq over the finite field Fq of q elements we give a natural interpretation of an acute angle triangle defined by these points. We obtain an upper bound on the size of a set Z such that all triples of distinct points u, v, W ε Z define acute angle triangles. A similar question in the real space Rn dates back to P.Erds and has been studied by several authors.

UR - http://www.scopus.com/inward/record.url?scp=77957230814&partnerID=8YFLogxK

U2 - 10.1017/S0004972709000719

DO - 10.1017/S0004972709000719

M3 - Article

VL - 81

SP - 114

EP - 120

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

SN - 0004-9727

IS - 1

ER -