Email this article Sums of multiplicative characters with additive convolutions
- Authors: Volostnov A.S.1, Shkredov I.D.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 296, No 1 (2017)
- Pages: 256-269
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174291
- DOI: https://doi.org/10.1134/S0081543817010217
- ID: 174291
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Abstract
We obtain new estimates for binary and ternary sums of multiplicative characters with additive convolutions of characteristic functions of sets with small additive doubling. In particular, we improve a result of Mei-Chu Chang. The proof uses the Croot–Sisask almost periodicity lemma.
About the authors
A. S. Volostnov
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: gyololo@rambler.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
I. D. Shkredov
Steklov Mathematical Institute of Russian Academy of Sciences
Email: gyololo@rambler.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
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