Divisibility of reduction in groups of rational numbers II

被引：1
|
作者：
Abdullah, H. O. [1 ]
Mustafa, A. Ali [1 ,2 ]
Pappalardi, F. [2 ]
机构：
[1] Salahaddin Univ Erbil, Coll Sci, Dept Math, Kirkuk Rd, Erbil, Iraq
[2] Univ Roma Tre, Dipartimento Matemat & Fis, Largo SL Murialdo 1, I-00145 Rome, Italy
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2023年 / 19卷 / 02期
关键词：
Asymptotic results; densities of primes; primitive roots; DISTRIBUTION PROPERTY; RESIDUAL ORDER; CONJECTURE;
D O I：
10.1142/S1793042123500124
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：247 / 260
页数：14
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