Geodesic
On the size of the quotient of two subsets of positive integers
Informatics and Automation, Harmonic analysis, approximation theory, and number theory, Tome 303 (2018), pp. 279-287

Voir la notice de l'article provenant de la source Math-Net.Ru

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{TRSPY_2018_303_a19,
     author = {Yu. N. Shteinikov},
     title = {On the size of the quotient of two subsets of positive integers},
     journal = {Informatics and Automation},
     pages = {279--287},
     publisher = {mathdoc},
     volume = {303},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2018_303_a19/}
}
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Yu. N. Shteinikov. On the size of the quotient of two subsets of positive integers. Informatics and Automation, Harmonic analysis, approximation theory, and number theory, Tome 303 (2018), pp. 279-287. http://geodesic.mathdoc.fr/item/TRSPY_2018_303_a19/