Ramesh Kumar Muthumalai

Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132

Volume 20, 2014, Number 2, Pages 92—96

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## Details

### Authors and affiliations

Ramesh Kumar Muthumalai

*Department of Mathematics, D. G. Vaishnav College
Chennai-600106, Tamil Nadu, India*

### Abstract

Some properties and applications of an analogue of Möbius function are studied in the paper titled, “Some properties and application of a new arithmetic function in analytic number theory”. In this paper, some additional properties of this new arithmetic function connecting with familiar arithmetic functions such as Möbius function, Euler totient function, etc., are given.

### Keywords

- Möbius function
- Arithmetic function
- Identities
- Properties

### AMS Classification

- 11A25

### References

- Apostal, T. M. Introduction to Analytic Number Theory, Springer International Student Edition, Newyork (1989).
- Gradshteyn. I. S., I. M. Ryzhik. Tables of Integrals, Series and Products, 6 Ed, Academic Press (2000), USA.
- Muthumalai, R. K. Some properties and application of a new arithmetic function in analytic number theory, Notes on Number Theory and Discrete Mathematics, Vol. 17, 2011, No. 3, 38–48.

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## Cite this paper

APAMuthumalai, R. K. (2014). Some arithmetic properties of an analogue of Möbius function. Notes on Number Theory and Discrete Mathematics, 20(2), 92-96.

ChicagoMuthumalai, Ramesh Kumar. “Some Arithmetic Properties of an Analogue of Möbius Function.” Notes on Number Theory and Discrete Mathematics 20, no. 2 (2014): 92-96.

MLAMuthumalai, Ramesh Kumar. “Some Arithmetic Properties of an Analogue of Möbius Function.” Notes on Number Theory and Discrete Mathematics 20.2 (2014): 92-96. Print.