Averages in vector spaces over finite fields

Anthony Carbery, Brendan Stones, James Wright

Type: Article

Publication Date: 2008-01-01

Citations: 14

DOI: https://doi.org/10.1017/s0305004107000680

Abstract

Abstract We study the analogues of the problems of averages and maximal averages over a surface in $\mathbb{R}^{n}$ when the euclidean structure is replaced by that of a vector space over a finite field, and obtain optimal results in a number of model cases.

Locations

Mathematical Proceedings of the Cambridge Philosophical Society - View
Edinburgh Research Explorer (University of Edinburgh) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF
Edinburgh Research Archive (University of Edinburgh) - View - PDF

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