On Arithmetical Functions

Authors

  • Veena Narayanan Department of Mathematics, SASTRA Deemed to be University,Thanajvur, Tamil Nadu, India Author
  • R.Srikanth TATA Realty- SASTRA Srinivasa Ramanujan Research Chair for Mathematics,SASTRA Deemed to be University, Thanjavur, Tamil Nadu, India Author

DOI:

https://doi.org/10.61841/q95wqj45

Keywords:

Arithmetic functions, Euler totient function, Fundamental theorem of Arithmetic, Prime divisor,, Prime factorization

Abstract

In this paper, we provide some relations involving arithmetic functions φ, σ and ψ. The present work discusses some equalities regarding these arithmetic functions using the concept of maximum and minimum prime divisor.

     

 

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References

1. Atanassov, K. (2006). Note on φ, ψ and σ- functions. Notes on Number Theory and Discrete Mathematics, 12(4), 23–24.

2. Atanassov, K. (2010).Note on φ, ψ and σ- functions. Part 2. Notes on Number Theory and Discrete

3. Mathematics, 16(3), 25–28.

4. Atanassov, K. (2011).Note on φ, ψ and σ- functions. Part 2. Notes on Number Theory and Discrete

5. Mathematics, 17(3), 13–14.

6. Kannan, V.,&Srikanth, R. (2013). Note on φ and ψ functions. Notes on Number Theory and Discrete Mathematics, 19(1), 19-21.

7. David M. Burton. (2007). Elementary Number Theory, Sixth edition, McGraw-Hill Companies, New York.

8. Nagell, T. (1950). Introduction to number theory, John Wiley & Sons, New York.

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Published

31.10.2020

Issue

Vol. 24 No. 8 (2020): 24 (8) 2020

Section

Articles

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How to Cite

Narayanan, V., & R.Srikanth. (2020). On Arithmetical Functions. International Journal of Psychosocial Rehabilitation, 24(8), 14102-14107. https://doi.org/10.61841/q95wqj45