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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Volume 303, Pages 279–287
DOI: https://doi.org/10.1134/S0371968518040209 (Mi tm3953) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the size of the quotient of two subsets of positive integers

Yu. N. Shteinikov

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
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DOI: https://doi.org/10.1134/S0371968518040209
Abstract: We obtain a nontrivial lower bound for the size of the set $A/B$, where $A$ and $B$ are subsets of the interval $[1,Q]$.
Keywords: integers, divisibility, energy of sets.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: August 14, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2018, Volume 303, Pages 259–267
DOI: https://doi.org/10.1134/S0081543818080205
Bibliographic databases:
Document Type: Article
UDC: 511.34
MSC: 11B30, 11B75
Language: Russian
Citation: Yu. N. Shteinikov, “On the size of the quotient of two subsets of positive integers”, Harmonic analysis, approximation theory, and number theory, Collected papers. Dedicated to Academician Sergei Vladimirovich Konyagin on the occasion of his 60th birthday, Trudy Mat. Inst. Steklova, 303, MAIK Nauka/Interperiodica, Moscow, 2018, 279–287; Proc. Steklov Inst. Math., 303 (2018), 259–267
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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