Abstract

abstract:

We establish that if $d\geq 2k+6$ and $q$ is odd and sufficiently large with respect to $\alpha\in (0,1)$, then every set $A\subseteq{\bf F}_q^d$of size $|A|\geq\alpha q^d$ will contain an isometric copy of every spherical $(k+2)$-point configuration that spans $k$ dimensions.

pdf

Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 373-404
Launched on MUSE
2020-03-24
Open Access
No
Back To Top

This website uses cookies to ensure you get the best experience on our website. Without cookies your experience may not be seamless.