Sums of multiplicative characters with additive convolutions
- Авторлар: Volostnov A.S.1, Shkredov I.D.1
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Мекемелер:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Шығарылым: Том 296, № 1 (2017)
- Беттер: 256-269
- Бөлім: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174291
- DOI: https://doi.org/10.1134/S0081543817010217
- ID: 174291
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
A. Volostnov
Steklov Mathematical Institute of Russian Academy of Sciences
Хат алмасуға жауапты Автор.
Email: gyololo@rambler.ru
Ресей, ul. Gubkina 8, Moscow, 119991
I. Shkredov
Steklov Mathematical Institute of Russian Academy of Sciences
Email: gyololo@rambler.ru
Ресей, ul. Gubkina 8, Moscow, 119991
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