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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…
math.CA2005
Erdos distance problem in vector spaces over finite fields
Alex Iosevich, Misha Rudnev
We study the Erdös/Falconer distance problem in vector spaces over finite fields. Let be a finite field with elements and take , .…