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Averages in vector spaces over finite fields

  • ANTHONY CARBERY (a1), BRENDAN STONES (a2) and JAMES WRIGHT (a3)
Abstract
Abstract

We study the analogues of the problems of averages and maximal averages over a surface in 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.

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[1]J. Bourgain , N. Katz and T. Tao . A sum-product estimate in finite fields, and applications, Geom. Funct. Anal. 14, no. 1 (2004), 2757.

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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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