P. Haukkanen

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

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

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## 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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- W. Schwarz and J. Spilker, Arithmetical Functions, London Mathematical Society Lecture Note Series 184, Cambridge University Press, Cambridge, 1994.
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- R. Vaidyanathaswamy, On the inversion of multiplicative arithmetic functions, J. Indian Math. Soc. (Notes & Questions) 17 (1927), 69-73.

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## Cite this paper

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

ChicagoHaukkanen, P. “Expressions for the Dirichlet inverse of arithmetical functions.” Notes on Number Theory and Discrete Mathematics 6, no. 4 (2000): 118-124.

MLAHaukkanen, P. “Expressions for the Dirichlet inverse of arithmetical functions.” Notes on Number Theory and Discrete Mathematics 6.4 (2000): 118-124. Print.