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20062023
most citedExtension theorems for the Fourier transform associated with non-degenerate quadratic surfaces in vector spaces over finite fields

14 citations · 68 across the 47 of their papers we have counts for

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Showing 2007Show all

2 papers · 1 filter

math.CA2007

Extension Theorems for Spheres in the Finite Field Setting

Alex Iosevich, Doowon Koh

In this paper we study the boundedness of extension operators associated with spheres in vector spaces over finite fields.In even dimensions, we estimate the number of incidences b…

math.CA2007★ 3 cited

Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdos-Falconer distance conjecture

Derrick Hart, Alex Iosevich, Doowon Koh +1

We prove a point-wise and average bound for the number of incidences between points and hyper-planes in vector spaces over finite fields. While our estimates are, in general, sharp…