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- W2952352711 abstract "We study the Erdos/Falconer distance problem in vector spaces over finite fields. Let ${Bbb F}_q$ be a finite field with $q$ elements and take $E subset {Bbb F}^d_q$, $d ge 2$. We develop a Fourier analytic machinery, analogous to that developed by Mattila in the continuous case, for the study of distance sets in ${Bbb F}^d_q$ to provide estimates for minimum cardinality of the distance set $Delta(E)$ in terms of the cardinality of $E$. Kloosterman sums play an important role in the proof." @default.
- W2952352711 created "2019-06-27" @default.
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- W2952352711 date "2005-09-01" @default.
- W2952352711 modified "2023-10-12" @default.
- W2952352711 title "Erdos distance problem in vector spaces over finite fields" @default.
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