most citedPinned distance sets, k-simplices, Wolff's exponent in finite fields and sum-product estimates

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math.NT2006

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

Alex Iosevich, Doowon Koh

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 problem…