Intersections of shifts of multiplicative subgroups


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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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I. V’yugin

Kharkevich Institute for Problems in Information Transmission; National Research University Higher School of Economics

编辑信件的主要联系方式.
Email: vyugin@gmail.com
俄罗斯联邦, Moscow; Moscow

E. Solodkova

Kharkevich Institute for Problems in Information Transmission

Email: vyugin@gmail.com
俄罗斯联邦, Moscow

I. Shkredov

Kharkevich Institute for Problems in Information Transmission; Steklov Mathematical Institute; Demidov Yaroslavl State University

Email: vyugin@gmail.com
俄罗斯联邦, Moscow; Moscow; Yaroslavl

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