Expressions for the Dirichlet inverse of arithmetical functions

P. Haukkanen
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 6, 2000, Number 4, Pages 118—124
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Authors and affiliations

P. Haukkanen
Department of Mathematics, Statistics and Philosophy,
FIN-33014 University of Tampere, Finland


We express the values of the Dirichlet inverse f -1 in terms of the values of f without using the values of f -1. We use a method based on representing 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


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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.

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