Matrices Associated with Class of Unitary Arithmetical Functions

E.Kiran Babu; Dr.V.Raghavendra Prasad; Dr.Y.Rajasekhara Goud

doi:https://doi.org/10.14445/22315373/IJMTT-V46P540

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 46 | Number 4 | Year 2017 | Article Id. IJMTT-V46P540 | DOI : https://doi.org/10.14445/22315373/IJMTT-V46P540

Matrices Associated with Class of Unitary Arithmetical Functions

E.Kiran Babu, Dr.V.Raghavendra Prasad, Dr.Y.Rajasekhara Goud

Abstract

If f is an arithmetical function and [f(i,j)] is the matrix then we evaluated det [f(i,j)] as product of f, has Dirichlet convolution of f and Other theorem and corollary are evaluated.

Keywords

Arithmetical function, determinants, Ramanujan fraction, even functions.

References

1. T.Apostol,Arithmetical properties of generalized Ramanujan sums,pacific j.math.41(1972),281-293.
2. S.Beslin, Reciprocal GCD matrices and LCM matrices, Fibonacci Quart. 29 (1991),271-274.
3. S.Beslin and S. ligh, Gretest common divisor matrices, Linear Algebra Appl. 118 (1989) 69-76.
4. Keith Bourque and Steve ligh Matrices associated with class of arithmetical functions journal of number theory 45 367-376(1993).

Citation :

E.Kiran Babu, Dr.V.Raghavendra Prasad, Dr.Y.Rajasekhara Goud, "Matrices Associated with Class of Unitary Arithmetical Functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 46, no. 4, pp. 277-283, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V46P540