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Matematicheskie Zametki, 2023, Volume 114, Issue 6, Pages 922–930
DOI: https://doi.org/10.4213/mzm14023 (Mi mzm14023) 		 
Sets with Extremal Product Property and Its Variations

Yu. N. Shteinikovab

a National Research Centre "Kurchatov Institute", Moscow
b Scientific Research Institute for System Analysis of the Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.4213/mzm14023
Abstract: In the present paper, we refine the lower bound for the size of the set $A$ of finite intervals of positive integers such that the size of the set $AA$ is asymptotically equal to $|A|^2/2$. Arguing by analogy with the previous work by Ford (2018) with minor optimizations, we refine the previous estimate. In this paper, we borrow the problems, approaches, and arguments of reasoning proposed by Ford.
Keywords: product, set, divisor, prime.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FNEF-2021-0011
The work was carried out within the framework of the state assignment for conducting fundamental scientific research under grant no. FNEF-2021-0011.
Received: 05.05.2023
Revised: 09.06.2023
English version:
Mathematical Notes, 2023, Volume 114, Issue 6, Pages 1342–1349
DOI: https://doi.org/10.1134/S0001434623110676
Bibliographic databases:
Document Type: Article
UDC: 511.321
Language: Russian
Citation: Yu. N. Shteinikov, “Sets with Extremal Product Property and Its Variations”, Mat. Zametki, 114:6 (2023), 922–930; Math. Notes, 114:6 (2023), 1342–1349
Citation in format AMSBIB
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\by Yu.~N.~Shteinikov
\paper Sets with Extremal Product Property and Its Variations
\jour Mat. Zametki
\yr 2023
\vol 114
\issue 6
\pages 922--930
\mathnet{http://mi.mathnet.ru/mzm14023}
\crossref{https://doi.org/10.4213/mzm14023}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4716498}
\transl
\jour Math. Notes
\yr 2023
\vol 114
\issue 6
\pages 1342--1349
\crossref{https://doi.org/10.1134/S0001434623110676}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85187665771}
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