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Matematicheskie Zametki, 2016, Volume 100, Issue 2, Pages 185–195
DOI: https://doi.org/10.4213/mzm10839 (Mi mzm10839) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Intersections of Shifts of Multiplicative Subgroups

I. V. Vyuginab, E. V. Solodkovaa, I. D. Shkredovcda

a Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
b National Research University "Higher School of Economics" (HSE), Moscow
c P.G. Demidov Yaroslavl State University
d Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (508 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm10839
Abstract: 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.
Keywords: multiplicative subgroup, finite field, Stepanov's method, sum of subgroups.
Funding agency Grant number
Russian Science Foundation 14-11-00433
Russian Foundation for Basic Research 14-01-00346
The work of the second and third authors (Secs. 1 and 3) was supported by the Russian Science Foundation under grant 14-11-00433. The work of the first author (Sec. 2) was supported by the Russian Foundation for Basic Research under grant 14-01-00346.
Received: 21.06.2015
Revised: 13.12.2015
English version:
Mathematical Notes, 2016, Volume 100, Issue 2, Pages 189–198
DOI: https://doi.org/10.1134/S0001434616070154
Bibliographic databases:
Document Type: Article
UDC: 511.218
Language: Russian
Citation: I. V. Vyugin, E. V. Solodkova, I. D. Shkredov, “Intersections of Shifts of Multiplicative Subgroups”, Mat. Zametki, 100:2 (2016), 185–195; Math. Notes, 100:2 (2016), 189–198
Citation in format AMSBIB
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