Addendum to J. Cilleruelo, D.S. Ramana, and O. Ramaré's paper “Quotient and product sets of thin subsets of the positive integers”
Informatics and Automation, Analytic and combinatorial number theory, Tome 296 (2017), pp. 260-264
Cet article a éte moissonné depuis la source Math-Net.Ru
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.
@article{TRSPY_2017_296_a19,
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}},
journal = {Informatics and Automation},
pages = {260--264},
year = {2017},
volume = {296},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TRSPY_2017_296_a19/}
}
TY - JOUR AU - Yu. N. Shteinikov TI - Addendum to J. Cilleruelo, D.S. Ramana, and O. Ramaré's paper “Quotient and product sets of thin subsets of the positive integers” JO - Informatics and Automation PY - 2017 SP - 260 EP - 264 VL - 296 UR - http://geodesic.mathdoc.fr/item/TRSPY_2017_296_a19/ LA - ru ID - TRSPY_2017_296_a19 ER -
%0 Journal Article %A Yu. N. Shteinikov %T Addendum to J. Cilleruelo, D.S. Ramana, and O. Ramaré's paper “Quotient and product sets of thin subsets of the positive integers” %J Informatics and Automation %D 2017 %P 260-264 %V 296 %U http://geodesic.mathdoc.fr/item/TRSPY_2017_296_a19/ %G ru %F TRSPY_2017_296_a19
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”. Informatics and Automation, Analytic and combinatorial number theory, Tome 296 (2017), pp. 260-264. http://geodesic.mathdoc.fr/item/TRSPY_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