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Izvestiya: Mathematics, 2004, Volume 68, Issue 3, Pages 493–520
DOI: https://doi.org/10.1070/IM2004v068n03ABEH000486 (Mi im486) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Problems on the set of squarefree numbers

S. V. Konyagin

M. V. Lomonosov Moscow State University
English version PDF (294 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM2004v068n03ABEH000486
Abstract: Let $N$ be a positive integer and $\operatorname{ES}_N$ the maximal cardinality of a subset $\mathscr A\subset\{1,\dots,N\}$ such that $a+a'$ is squarefree for all $a\in\mathscr A$, $a'\in\mathscr A$. For large $N$ we obtain new upper and lower bounds for $\operatorname{ES}_N$.
Received: 15.08.2003
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2004, Volume 68, Issue 3, Pages 63–90
DOI: https://doi.org/10.4213/im486
Bibliographic databases:
Document Type: Article
UDC: 511.337
MSC: 11K65, 11N35
Language: English
Original paper language: Russian
Citation: S. V. Konyagin, “Problems on the set of squarefree numbers”, Izv. RAN. Ser. Mat., 68:3 (2004), 63–90; Izv. Math., 68:3 (2004), 493–520
Citation in format AMSBIB
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\paper Problems on the set of squarefree numbers
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\jour Izv. Math.
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  • https://www.mathnet.ru/eng/im/v68/i3/p63
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:825
    Russian version PDF:362
    English version PDF:31
    References:84
    First page:3
     
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