<abstract xmlns="http://www.w3.org/1999/xhtml">
<p>We prove a theorem which unifies some formulas, for example the counting function, of some sets of numbers including all positive integers, <italic>h</italic>-free numbers, <italic>h</italic>-full numbers, etc. We also establish a conjecture and give some examples where the conjecture holds.</p>
</abstract>

We prove a theorem which unifies some formulas, for example the counting function, of some sets of numbers including all positive integers, h-free numbers, h-full numbers, etc. We also establish a conjecture and give some examples where the conjecture holds.

Some General Theorems About a Class of Sets of Numbers

Departamento de Ciencias Básicas, División Matemática

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Some General Theorems About a Class of Sets of Numbers"}

We prove a theorem which unifies some formulas, for example the counting function, of some sets of numbers including all positive integers, h-free numbers,...

Some General Theorems About a Class of Sets of Numbers

Published Online: Dec 13, 2023

Page range: -

Received: Jun 18, 2023

Accepted: Nov 29, 2023

DOI: https://doi.org/10.2478/amsil-2023-0024

Keywords
sets of numbers, counting function, general theorems, least prime factor.

© 2023 Rafael Jakimczuk, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Some General Theorems About a Class of Sets of Numbers

Published Online: Dec 13, 2023

Page range: -

Received: Jun 18, 2023

Accepted: Nov 29, 2023

DOI: https://doi.org/10.2478/amsil-2023-0024

Keywordssets of numbers, counting function, general theorems, least prime factor.

© 2023 Rafael Jakimczuk, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
sets of numbers, counting function, general theorems, least prime factor.