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Статья

Intersections of shifts of multiplicative subgroups

Mathematical notes. 2016. Vol. 100. No. 1. P. 189-198.
Vyugin I. V., Solodkova E., Shkredov I.

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.