Ayse Nalli and Pentti Haukkanen

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

Volume 9, 2003, Number 4, Pages 90–98

**Full paper (PDF, 77 Kb)**

## Details

### Authors and affiliations

Ayse Nalli

*Department of Mathematics, Faculty of Science and Literature, University of Selcuk
42070 Campüs Konya, Turkey
*

Pentti Haukkanen

*Department of Mathematics, Statistics and Philosophy,
FIN-33014 University of Tampere, Finland
*

### Abstract

Let *S* = {*x*_{1}, *x*_{2}, …, *x _{n}*} be an ordered set of distinct positive integers with

*x*

_{1}<

*x*

_{2}< … <

*x*(

_{n}*n*> 1). We provide some properties for the

*n*×

*n*matrix (

*G*)

*o [*

_{f}*L*]

*on*

_{f}*S*, where (

*G*)

*denotes the*

_{f}*n*×

*n*GCD matrix on

*S*associated with

*f*, [

*L*]

*denotes the*

_{f}*n*×

*n*LCM matrix on

*S*associated with

*f*and o denotes the Hadamard product.

### Keywords

- Hadamard product
- GCD matrix
- LCM matrix
- Semi-multiplicative function

### AMS Classification

- 11C20
- 11A05
- 15A36
- 11A25

### References

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## Related papers

## Cite this paper

Nalli, A., & Haukkanen, P. (2003). On the Hadamard product of GCD and LCM matrices associated with semi-multiplicative functions. *Notes on Number Theory and Discrete Mathematics*, 9(4), 90-98.