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.
Citation:
Yu. N. Shteinikov, “Addendum to J. Cilleruelo, D.S. Ramana, and O. Ramaré's paper “Quotient and product sets of thin subsets of the positive integers””, Analytic and combinatorial number theory, Collected papers. On the occasion of the 125th anniversary of the birth of Academician Ivan Matveevich Vinogradov, Trudy Mat. Inst. Steklova, 296, MAIK Nauka/Interperiodica, Moscow, 2017, 260–264; Proc. Steklov Inst. Math., 296 (2017), 251–255
\Bibitem{Sht17}
\by Yu.~N.~Shteinikov
\paper Addendum to J. Cilleruelo, D.S. Ramana, and O. Ramar\'e's paper ``Quotient and product sets of thin subsets of the positive integers''
\inbook Analytic and combinatorial number theory
\bookinfo Collected papers. On the occasion of the 125th anniversary of the birth of Academician Ivan Matveevich Vinogradov
\serial Trudy Mat. Inst. Steklova
\yr 2017
\vol 296
\pages 260--264
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3769}
\crossref{https://doi.org/10.1134/S0371968517010204}
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\transl
\jour Proc. Steklov Inst. Math.
\yr 2017
\vol 296
\pages 251--255
\crossref{https://doi.org/10.1134/S0081543817010205}
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Yu. N. Shteinikov, “On the product sets of rational numbers”, Proc. Steklov Inst. Math., 296 (2017), 243–250
J. Cilleruelo, D. S. Ramana, O. Ramaré, “Quotient and product sets of thin subsets of the positive integers”, Proc. Steklov Inst. Math., 296 (2017), 52–64
Citation in format AMSBIB
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