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arxiv: math/0609366 · v1 · submitted 2006-09-13 · 🧮 math.NT · math.CA

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

classification 🧮 math.NT math.CA
keywords distanceerdos-falconerexponentialfieldsfiniteincidencespacessums
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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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