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math.NTMay 26, 2018
authors
  • Ilya D. Shkredov
arXiv abstractPDF
paper

A short note on the multiplicative energy of the spectrum of a set

arXiv:1805.10468

Abstract

We obtain an upper bound for the multiplicative energy of the spectrum of an arbitrary set from Fp​, which is the best possible up to the results on exponential sums over subgroups.

10 pages

References in corpus (3)

  • New results on sum-product type growth over fields
  • Products of Differences in Prime Order Finite Fields
  • On sumsets of dissociated sets
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