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New York Journal of Mathematics
Volume 29 (2023), 1032-1037

  

Tomasz Schoen

Large spectral gaps and small sumsets

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Published: September 1, 2023.
Keywords: large spectrum, sumsets.
Subject [2010]: 11B30, 11L03, 11P99, 41A16.

Abstract
We determine nearly optimal size of a spectral gap of the characteristic function of a subset of a cyclic group of prime order that guaranties that its sumset covers almost the whole group.

Acknowledgements

N/A


Author information

Tomasz Schoen
Faculty of Mathematics and Computer Science
Adam Mickiewicz University
Uniwersytetu Poznańskiego 4
61-614 Poznań, Poland

schoen@amu.edu.pl