Year: 2024
Type: article
Abstract: In this article we prove generalizations of the well-known Mertens's formula. We also define some arithmetic functions related to the exponents of the primes in the prime factorization of the positive integers and study its average. Finally, we study square-free numbers, s-full numbers and perfect powers not exceeding x which can be represented as sums of two squares.
Source: Gulf Journal of Mathematics
Author: Rafael Jakimczuk
Institution: National University of Luján
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Funder: Universidad Nacional de Luján
OpenAlex ID: W4402958190