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Addendum to J. Cilleruelo, D.S. Ramana, and O. Ramaré’s paper “Quotient and product sets of thin subsets of the positive integers”

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Abstract

The purpose of this note is to prove two results on the quotient sets A/A of finite sets A ⊂ [1, n] of positive integers. They complement the results from the paper by J. Cilleruelo, D.S. Ramana, and O. Ramaré.

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References

  1. J. Cilleruelo, D. S. Ramana, and O. Ramaré, “Quotient and product sets of thin subsets of the positive integers,” Tr. Mat. Inst. im. V.A. Steklova, Ross. Akad. Nauk 296, 58–71 (2017) [Proc. Steklov Inst. Math. 296, 52–64 (2017)].

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  2. G. Tenenbaum, Introduction to Analytic and Probabilistic Number Theory (Cambridge Univ. Press, Cambridge, 1995).

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  3. Yu. N. Shteinikov, “On the product sets of rational numbers,” Tr. Mat. Inst. im. V.A. Steklova, Ross. Akad. Nauk 296, 252–259 (2017) [Proc. Steklov Inst. Math. 296, 243–250 (2017)].

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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. 260–264.

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Shteinikov, Y.N. Addendum to J. Cilleruelo, D.S. Ramana, and O. Ramaré’s paper “Quotient and product sets of thin subsets of the positive integers”. Proc. Steklov Inst. Math. 296, 251–255 (2017). https://doi.org/10.1134/S0081543817010205

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  • DOI: https://doi.org/10.1134/S0081543817010205

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