On certain arithmetical functions of exponents in the factorization of integers

József Sándor and Krassimir T. Atanassov
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 29, 2023, Number 2, Pages 378–388
DOI: 10.7546/nntdm.2023.29.2.378-388
Full paper (PDF, 246 Kb)

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Authors and affiliations

József Sándor
Department of Mathematics, Babeș-Bolyai University
Cluj-Napoca, Romania

Krassimir T. Atanassov
• Department of Bioinformatics and Mathematical Modelling,
Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
• Intelligent Systems Laboratory,
Prof. Asen Zlatarov University, Burgas-8010, Bulgaria

Abstract

Some new results for the maximum and minimum exponents in factorizing integers are obtained. Related functions and generalized arithmetical functions are also introduced.

Keywords

• Arithmetic function
• Density
• Maximum and minimum exponent
• Number of prime factors
• Statistical limit

2020 Mathematics Subject Classification

• 11A25
• 11A51
• 11N37
• 11N56

References

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Manuscript history

• Received: 12 January 2023
• Accepted: 21 May 2023
• Online First: 23 May 2023

Copyright information

Ⓒ 2023 by the Authors.
This is an Open Access paper distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License (CC BY 4.0).