A. Iosevich

activity

19992009

most citedExtension theorems for the Fourier transform associated with non-degenerate quadratic surfaces in vector spaces over finite fields

14 citations · 72 across the 24 of their papers we have counts for

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math.NT2007

Sums and products in finite fields: an integral geometric viewpoint

Derrick Hart, Alex Iosevich

We prove that if $A \subset F_{q}$ is such that $∣ A ∣ > q^{1/2 + \frac{1}{2 d}},$ then $F_{q}^{*} \subset d A^{2} = A^{2} + ... + A^{2} d times,$ where $$A^2=\{a \cdot a': a,a'…

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…