Arkiv för Matematik
Volume 56 (2018)
Salem sets in vector spaces over finite fields
Pages: 45 – 52
We prove that almost all random subsets of a finite vector space are weak Salem sets (small Fourier coefficient), which extend a result of Hayes to a different probability model.
finite fields, Salem sets
2010 Mathematics Subject Classification
The author is supported by the Kalle Väisälä Foundation.
Received 29 January 2017
Received revised 10 May 2017
Accepted 4 June 2017
Published 30 April 2018