Erdos-Falconer distance problem, exponential sums, and Fourier analytic approach to incidence theorems in vector spaces over finite fields
Number Theory
2007-05-23 v1 Classical Analysis and ODEs
Abstract
We prove several incidence theorems in vector spaces over finite fields using bounds for various classes of exponential sums and apply these to Erdos-Falconer type distance problems.
Keywords
Cite
@article{arxiv.math/0609366,
title = {Erdos-Falconer distance problem, exponential sums, and Fourier analytic approach to incidence theorems in vector spaces over finite fields},
author = {Alex Iosevich and Doowon Koh},
journal= {arXiv preprint arXiv:math/0609366},
year = {2007}
}