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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 289, Pages 318–327
DOI: https://doi.org/10.1134/S0371968515020181 (Mi tm3616) 		 
This article is cited in 20 scientific papers (total in 20 papers)

On sums of Szemerédi–Trotter sets

I. D. Shkredovab

a Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow, Russia
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (194 kB) Citations (20)
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DOI: https://doi.org/10.1134/S0371968515020181
Abstract: We prove new general results on sumsets and difference sets for sets of the Szemerédi–Trotter type. This family includes convex sets, sets with small multiplicative doubling, images of sets under convex/concave maps and others.
Funding agency Grant number
Russian Science Foundation 14-11-00433
Received: January 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 289, Pages 300–309
DOI: https://doi.org/10.1134/S0081543815040185
Bibliographic databases:
Document Type: Article
UDC: 511.34+511.212
Language: Russian
Citation: I. D. Shkredov, “On sums of Szemerédi–Trotter sets”, Selected issues of mathematics and mechanics, Collected papers. In commemoration of the 150th anniversary of Academician Vladimir Andreevich Steklov, Trudy Mat. Inst. Steklova, 289, MAIK Nauka/Interperiodica, Moscow, 2015, 318–327; Proc. Steklov Inst. Math., 289 (2015), 300–309
Citation in format AMSBIB
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\vol 289
\pages 318--327
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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