On certain arithmetical functions connected with the prime factorization of an integer
Abstract
If $1< n = \displaystyle\prod_{i=1}^r p_i^{a_i}$ is the prime factorization of integer $n,$ we study the arithmetical functions $$M(n) = \displaystyle\prod_{i=1}^r a_i^{p_i}, \quad F(n) = \displaystyle\prod_{i=1}^r p_i^{1/a_i},\quad G(n) = \displaystyle\prod_{i=1}^r a_i^{1/p_i}.$$
Fields of Study & Subjects
Analytic Number Theory Research
Smarandache Functions and Recreational Number Theory
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Notes on Number Theory and Discrete Mathematics
- Volume
- 32
- Issue
- 1
- Pages
- 88–95
- Publication date
- 23 February 2026
- Language
- EN