Divisibility of reduction in groups of rational numbers II
Herish O. Abdullah, Andam Ali Mustafa, Francesco Pappalardi · International Journal of Number Theory · 2022
Given a finitely generated multiplicative group of rational numbers, we compute the density of the set of primes for which the order of the reduction group is divisible by a given integer. Earlier work considers the case of groups of positive rationals. Here, we consider the general case. In the second part of the paper, we test our formulas with several tables.