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Hybrid ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
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Open Access Research Article

Application of the Möbius function in algebraic structures for combinatorial number theory

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pp. 515–522Vol. 29Issue 2-AFebruary 2026DOI: 10.47974/JDMSC-2491 Crossmark XML
Received:
15 Apr 2025
Published Online:
31 Dec 2025
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2491
Pages:
515–522

Abstract

The Möbius function is an important arithmetic function in number theory. It’s also very important to the examiner of algebraic patterns and combinatorial mathematics. Further to conventional range principle, it may be utilized in algebraic geometry, organization precept, and combinatorial extensive variety idea, among different things. These examine looks at the many approaches the Möbius function is probably used in combinatorial contexts. It is mainly used to observe partition characteristics, listing lattice factors, and turn sums over divisor features. The Möbius characteristic helps us find strong inversion formulae and hyperlinks that provide brief combinatory computation. As an instance, the Möbius inversion component simplifies the extraction of values from summitry traits. We additionally show how the Möbius feature interacts with algebraic systems such earrings and fields to provide a better know-how of how combinatorial gadgets are assembled. Examining those connections these days no longer only we could us research more approximately combinatorial arithmetic; it also gives us fresh thoughts to cope with tough issues in quantity concept. The paper also discusses advanced cryptography applications, zeta features, and partition principle’s Möbius characteristic involvement. 

Keywords

Subject Classifications

05A10

References

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