Intersections of shifts of multiplicative subgroups
- Autores: V’yugin I.V.1,2, Solodkova E.V.1, Shkredov I.D.1,3,4
-
Afiliações:
- Kharkevich Institute for Problems in Information Transmission
- National Research University Higher School of Economics
- Steklov Mathematical Institute
- Demidov Yaroslavl State University
- Edição: Volume 100, Nº 1-2 (2016)
- Páginas: 189-198
- Seção: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149594
- DOI: https://doi.org/10.1134/S0001434616070154
- ID: 149594
Citar
Resumo
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.
Palavras-chave
Sobre autores
I. V’yugin
Kharkevich Institute for Problems in Information Transmission; National Research University Higher School of Economics
Autor responsável pela correspondência
Email: vyugin@gmail.com
Rússia, Moscow; Moscow
E. Solodkova
Kharkevich Institute for Problems in Information Transmission
Email: vyugin@gmail.com
Rússia, Moscow
I. Shkredov
Kharkevich Institute for Problems in Information Transmission; Steklov Mathematical Institute; Demidov Yaroslavl State University
Email: vyugin@gmail.com
Rússia, Moscow; Moscow; Yaroslavl
Arquivos suplementares
