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

Research paper by Ilya D. Shkredov

Indexed on: 26 May '18Published on: 26 May '18Published in: arXiv - Mathematics - Number Theory



Abstract

We obtain an upper bound for the multiplicative energy of the spectrum of an arbitrary set from $\mathbb{F}_p$, which is the best possible up to the results on exponential sums over subgroups.