Intersections of shifts of multiplicative subgroups
- Авторы: V’yugin I.V.1,2, Solodkova E.V.1, Shkredov I.D.1,3,4
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Учреждения:
- Kharkevich Institute for Problems in Information Transmission
- National Research University Higher School of Economics
- Steklov Mathematical Institute
- Demidov Yaroslavl State University
- Выпуск: Том 100, № 1-2 (2016)
- Страницы: 189-198
- Раздел: Article
- URL: https://ogarev-online.ru/0001-4346/article/view/149594
- DOI: https://doi.org/10.1134/S0001434616070154
- ID: 149594
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Аннотация
Using Stepanov’s method, we obtain an upper bound for the cardinality of the intersection of additive shifts of several multiplicative subgroups of a finite field. The resulting inequality is applied to a question dealing with the additive decomposability of subgroups.
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Об авторах
I. V’yugin
Kharkevich Institute for Problems in Information Transmission; National Research University Higher School of Economics
Автор, ответственный за переписку.
Email: vyugin@gmail.com
Россия, Moscow; Moscow
E. Solodkova
Kharkevich Institute for Problems in Information Transmission
Email: vyugin@gmail.com
Россия, Moscow
I. Shkredov
Kharkevich Institute for Problems in Information Transmission; Steklov Mathematical Institute; Demidov Yaroslavl State University
Email: vyugin@gmail.com
Россия, Moscow; Moscow; Yaroslavl
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