About one question about the set of rational numbers determined by the quotients of two subsets
Čebyševskij sbornik, Tome 25 (2024) no. 4, pp. 154-157
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In this paper, we aim to derive a quantitative version of a problem on the size of a set of fractions $A/A$, in the case where $A$ is a given finite set of natural numbers lying in the interval $[1,n]$, having positive asymptotic density $\alpha>0$ as $n \rightarrow \infty.$
Keywords:
integer numbers, density, product.
Yu. N. Shteinikov. About one question about the set of rational numbers determined by the quotients of two subsets. Čebyševskij sbornik, Tome 25 (2024) no. 4, pp. 154-157. http://geodesic.mathdoc.fr/item/CHEB_2024_25_4_a9/
@article{CHEB_2024_25_4_a9,
author = {Yu. N. Shteinikov},
title = {About one question about the set of rational numbers determined by the quotients of two subsets},
journal = {\v{C}eby\v{s}evskij sbornik},
pages = {154--157},
year = {2024},
volume = {25},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CHEB_2024_25_4_a9/}
}