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On the Inversion Property of the Mobius’ μ-Function II

Published online by Cambridge University Press:  03 November 2016

U. V. Satyanarayana
U. V. Satyanarayana*
Affiliation:
Department of Mathematics, Andhra University, Waltair, South India
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Extract

In a recent paper, under the same title, I proved that inversion of certain functional relations is the characteristic property of the Mobius’ μ-function, by establishing the:

THEOREM I′: f(n), g(n) and μ*(n) (possibly depending on f) are three arithmetical functions with

Type
Research Article
Information
The Mathematical Gazette , Volume 49 , Issue 368 , May 1965 , pp. 171 - 178
Copyright
Copyright © Mathematical Association 1965

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References

1. Satyanarayana, U. V.: “On the Inversion Property of the Mobius ’ μ-Function”, The Mathematical Gazette, Vol. XLVII (1963), pp. 38–42 Google Scholar
2. Hardy, G. H. and Wright, E. M.: An Introduction to the Theory of Numbers(Oxford University Press, 1945), pp. 237.Google Scholar