Sums of multiplicative characters with additive convolutions
- 作者: Volostnov A.S.1, Shkredov I.D.1
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隶属关系:
- Steklov Mathematical Institute of Russian Academy of Sciences
- 期: 卷 296, 编号 1 (2017)
- 页面: 256-269
- 栏目: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174291
- DOI: https://doi.org/10.1134/S0081543817010217
- ID: 174291
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详细
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.
作者简介
A. Volostnov
Steklov Mathematical Institute of Russian Academy of Sciences
编辑信件的主要联系方式.
Email: gyololo@rambler.ru
俄罗斯联邦, ul. Gubkina 8, Moscow, 119991
I. Shkredov
Steklov Mathematical Institute of Russian Academy of Sciences
Email: gyololo@rambler.ru
俄罗斯联邦, ul. Gubkina 8, Moscow, 119991
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