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On the product sets of rational numbers

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Abstract

A new lower bound on the size of product sets of rational numbers is obtained. An upper estimate for the multiplicative energy of two sets of rational numbers is also found.

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Authors and Affiliations

  1. Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia

    Yurii N. Shteinikov

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  1. Yurii N. Shteinikov
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Correspondence to Yurii N. Shteinikov.

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Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2017, Vol. 296, pp. 252–259.

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Shteinikov, Y.N. On the product sets of rational numbers. Proc. Steklov Inst. Math. 296, 243–250 (2017). https://doi.org/10.1134/S0081543817010199

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  • DOI: https://doi.org/10.1134/S0081543817010199

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