On the average number of automorphisms of the group ℤm×ℤn
Let [Formula: see text] be the additive group of the residue classes modulo k. For positive integers m and n, let [Formula: see text] denote the number of the automorphisms of the group [Formula: see text]. We obtain an asymptotic formula for the sum [Formula: see text], which indicates that the average value of [Formula: see text] is [Formula: see text] up to multiplying by a constant.
Authors
- Junjie Yu (ORCID: https://orcid.org/0000-0001-8920-7064)
- Dan Liu
Institutions
- Qingdao University of Science and Technology (CN)
- Chongqing Jiulongpo People's Hospital (CN)
- Shandong University of Science and Technology (CN)
Publication Details
- Journal
- International Journal of Number Theory
- Published
- 2025-11-21
- DOI
- https://doi.org/10.1142/s1793042126500326
- Primary Topic
- Analytic Number Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00