An extension of Dedekind’s arithmetic function

Krassimir Atanassov
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 32, 2026, Number 2, Pages 439–450
DOI: 10.7546/nntdm.2026.32.2.439-450
Full paper (PDF, 223 Kb)

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Authors and affiliations

Krassimir Atanassov
Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
Acad. G. Bonchev Str., Block 105, 1113 Sofia, Bulgaria

Abstract

By analogy with the Schemmel function, a new arithmetic function is introduced. It is an extension of the well-known Dedekind arithmetic function. Some of its basic properties are discussed.

Keywords

• Arithmetic function
• Dedekind’s function
• Euler’s totient function

2020 Mathematics Subject Classification

• 11A25

References

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Manuscript history

• Received: 26 May 2026
• Revised: 19 August 2026
• Accepted: 29 August 2026
• Online First: 31 August 2026

Copyright information

Ⓒ 2026 by the Author.
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).