Number Theoretic Functions:
Augmentation & Analytical Results

Shubham Agarwal; Anand Singh Uniyal

doi:https://doi.org/10.14445/22315373/IJMTT-V43P527

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 43 | Number 3 | Year 2017 | Article Id. IJMTT-V43P527 | DOI : https://doi.org/10.14445/22315373/IJMTT-V43P527

Number Theoretic Functions: Augmentation & Analytical Results

Shubham Agarwal, Anand Singh Uniyal

Abstract

In number theory, there exist many number theoretic functions, which includes Divisor function τ(n), Sigma function σ(n), Euler phi function ϕ(n) and Mobius function μ(n). All these functions play very important role in the field of number theory. In this paper we have given some results for number theoretic functions.

Keywords

Number theory, Number theoretic functions.

References

[1] G. H. Hardy & E. M. Wright, An Introduction to the Theory of Numbers, 4th ed., Oxford, Clarendon Press, (1960).
[2] S. Y. Yan, Computational Number Theory and Modern Cryptography, John Wiley & Sons, ISBN: 978-1-118- 18858-3 (2012).
[3] G. E. Andrews, Number Theory, Hindustan Publ. Corp. Delhi, (1992).
[4] D. M. Burton, Elementary Number Theory, Tata McGraw- Hill Publ. Comp. Ltd., New Delhi, (2006).

Citation :

Shubham Agarwal, Anand Singh Uniyal, "Number Theoretic Functions: Augmentation & Analytical Results," International Journal of Mathematics Trends and Technology (IJMTT), vol. 43, no. 3, pp. 232-233, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V43P527