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

Alex Iosevich·Doowon Koh
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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.

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Alex Iosevich, Doowon Koh. 2006-09-13. Erdos-Falconer distance problem, exponential sums, and Fourier analytic approach to incidence theorems in vector spaces over finite fields. https://arxiv.org/abs/math/0609366

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