A Remark on Sets with Small Wiener Norm

I. D. Shkredov ()
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I. D. Shkredov: Steklov Mathematical Institute

A chapter in Trigonometric Sums and Their Applications, 2020, pp 261-272 from Springer

Abstract: Abstract We show that any set with small Wiener norm has small multiplicative energy. It gives some new bounds for Wiener norm for sets with small product set. Also, we prove that any symmetric subset S of an abelian group has a nonzero Fourier coefficient of size Ω(|S|1∕3).

Keywords: Exponential sums; Wiener norm; Sum-product; Multiplicative subgroups (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-37904-9_12

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DOI: 10.1007/978-3-030-37904-9_12

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