<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>We examine the multiplicity of the greatest prime factor in <italic>k</italic>-full numbers and <italic>k</italic>-free numbers. We generalize a well-known result on greatest prime factors and obtain formulas related with the Riemann zeta function.</p>
</abstract>

We examine the multiplicity of the greatest prime factor in k-full numbers and k-free numbers. We generalize a well-known result on greatest prime factors and obtain formulas related with the Riemann zeta function.

Some Observations on the Greatest Prime Factor of an Integer

Annales Mathematicae Silesianae

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

{"article-title":"Some Observations on the Greatest Prime Factor of an Integer"}

We examine the multiplicity of the greatest prime factor in k-full numbers and k-free numbers. We generalize a well-known result on greatest prime factors and...

Some Observations on the Greatest Prime Factor of an Integer

Publié en ligne: 23 nov. 2022

Pages: 67 - 81

Reçu: 03 mars 2022

Accepté: 02 nov. 2022

DOI: https://doi.org/10.2478/amsil-2022-0018

Mots clés
greatest prime factor, zeta function

© 2023 Rafael Jakimczuk, published by Sciendo

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

Some Observations on the Greatest Prime Factor of an Integer

Publié en ligne: 23 nov. 2022

Pages: 67 - 81

Reçu: 03 mars 2022

Accepté: 02 nov. 2022

DOI: https://doi.org/10.2478/amsil-2022-0018

Mots clésgreatest prime factor, zeta function

© 2023 Rafael Jakimczuk, published by Sciendo

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

Mots clés
greatest prime factor, zeta function