Geodesic
On the size of the quotient of two subsets of positive integers
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Harmonic analysis, approximation theory, and number theory, Tome 303 (2018), pp. 279-287

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We obtain a nontrivial lower bound for the size of the set $A/B$, where $A$ and $B$ are subsets of the interval $[1,Q]$.
Keywords: integers, divisibility, energy of sets. 
@article{TM_2018_303_a19,
     author = {Yu. N. Shteinikov},
     title = {On the size of the quotient of two subsets of positive integers},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {279--287},
     publisher = {mathdoc},
     volume = {303},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2018_303_a19/}
}
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Yu. N. Shteinikov. On the size of the quotient of two subsets of positive integers. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Harmonic analysis, approximation theory, and number theory, Tome 303 (2018), pp. 279-287. http://geodesic.mathdoc.fr/item/TM_2018_303_a19/