Geodesic
Addendum to J. Cilleruelo, D.S. Ramana, and O. Ramaré's paper “Quotient and product sets of thin subsets of the positive integers”
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and combinatorial number theory, Tome 296 (2017), pp. 260-264
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The purpose of this note is to prove two results on the quotient sets $A/A$ of finite sets $A\subset [1,n]$ of positive integers. They complement the results from the paper by J. Cilleruelo, D.S. Ramana, and O. Ramaré. 
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     author = {Yu. N. Shteinikov},
     title = {Addendum to {J.} {Cilleruelo,} {D.S.} {Ramana,} and {O.} {Ramar\'e's} paper {{\textquotedblleft}Quotient} and product sets of thin subsets of the positive integers{\textquotedblright}},
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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”. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and combinatorial number theory, Tome 296 (2017), pp. 260-264. http://geodesic.mathdoc.fr/item/TM_2017_296_a19/

[1] Silleruelo Kh., Ramana D. S., Ramare O., “Chastnye i proizvedeniya podmnozhestv nulevoi plotnosti mnozhestva naturalnykh chisel”, Tr. MIAN, 296, 2017, 58–71

[2] Tenenbaum G., Introduction to analytic and probabilistic number theory, Cambridge Univ. Press, Cambridge, 1995 | MR | Zbl

[3] Shteinikov Yu. N., “O proizvedenii mnozhestv ratsionalnykh chisel”, Tr. MIAN, 296, 2017, 252–259