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This article is cited in 4 scientific papers (total in 4 papers)
Extremal properties of product sets
K. Ford Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, IL 61801, USA
Abstract:
We find the nearly optimal size of a set $A\subset [N] := \{1,\dots ,N\}$ so that the product set $AA$ satisfies either (i) $|AA| \sim |A|^2/2$ or (ii) $|AA| \sim |[N][N]|$. This settles problems recently posed in a paper of J. Cilleruelo, D. S. Ramana and O. Ramaré.
Received: January 27, 2018
Citation:
K. Ford, “Extremal properties of product sets”, 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, 239–245; Proc. Steklov Inst. Math., 303 (2018), 220–226
Linking options:
https://www.mathnet.ru/eng/tm3944https://doi.org/10.1134/S0371968518040179 https://www.mathnet.ru/eng/tm/v303/p239
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Abstract page: | 253 | Full-text PDF : | 64 | References: | 35 | First page: | 3 |
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