P. Haukkanen

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

Volume 6, 2000, Number 4, Pages 118–124

**Full paper (PDF, 222 Kb)**

## Details

### Authors and affiliations

P. Haukkanen

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

### Abstract

We express the values of the Dirichlet inverse *f ^{ -1}* in terms of the values of

*f*without using the values of

*f*. We use a method based on representing

^{ -1}*f**

^{ -1}*f*= δ as a system of linear equations. Jagannathan has given many of the results of this paper without proof starting from the basic recurrence relation for the values of

*f*.

^{ -1}### AMS Classification

- 11A25

### References

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## Related papers

- Haukkanen, P. (2023). Quotients of arithmetical functions under the Dirichlet convolution.
*Notes on Number Theory and Discrete Mathematics*, 29(2), 185-194.

## Cite this paper

Haukkanen, P. (2000). Expressions for the Dirichlet inverse of arithmetical functions. *Notes on Number Theory and Discrete Mathematics*, 6(4), 118-124.