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Diskretnaya Matematika, 2018, Volume 30, Issue 4, Pages 96–105
DOI: https://doi.org/10.4213/dm1471 (Mi dm1471) 		 
The number of sumsets in Abelian group

A. A. Sapozhenko, V. G. Sargsyan

Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/dm1471
Abstract: Asymptotic upper and lower bounds for the numbers of distinct subsets $A+B$ in Abelian group of order $n$ are derived, where $|A|,|B|\geq n(\log_{}n)^{-1/8}.$
Keywords: set, characteristic function, group, progression, coset.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00593A
Received: 11.09.2017
Revised: 24.10.2018
English version:
Discrete Mathematics and Applications, 2020, Volume 30, Issue 5, Pages 339–345
DOI: https://doi.org/10.1515/dma-2020-0030
Bibliographic databases:
Document Type: Article
UDC: 519.112.7+512.542.52
Language: Russian
Citation: A. A. Sapozhenko, V. G. Sargsyan, “The number of sumsets in Abelian group”, Diskr. Mat., 30:4 (2018), 96–105; Discrete Math. Appl., 30:5 (2020), 339–345
Citation in format AMSBIB
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