Erdos-Falconer distance problem, exponential sums, and Fourier analytic approach to incidence theorems in vector spaces over finite fields

Details Erdos-Falconer distance problem, exponential sums, and Fourier analytic approach to incidence theorems in vector spaces over finite fields Erdos-Falconer distance problem, exponential sums, and Fourier analytic approach to incidence theorems in vector spaces over finite fields

2006-09-13

arxiv.org/abs/math/0609366v1

Mathematics

Number Theory

Scientific paper

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.

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