On product sets of rationals
Javier Cilleruelo · International Journal of Number Theory · 2015
Bourgain, Konyagin and Shparlinski obtained a lower bound for the size of the product set [Formula: see text] when [Formula: see text] and [Formula: see text] are sets of positive rational numbers with the numerator and denominator less than or equal to [Formula: see text]. We extend and slightly improve that lower bound using a different approach.