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A NOTE ON THE DISTRIBUTION FUNCTION OF $ \varphi (\lowercase {P}-1)/(\lowercase {P}-1)$

Part of: Multiplicative number theory

Published online by Cambridge University Press:  16 January 2013

JEAN-MARC DESHOUILLERS  and
MEHDI HASSANI
JEAN-MARC DESHOUILLERS*
Affiliation:
Institut Mathématique de Bordeaux, UMR 5251, Université de Bordeaux et CNRS, 33405 TALENCE Cedex, France (email: jean-marc.deshouillers@math.u-bordeaux.fr)
MEHDI HASSANI
Affiliation:
Department of Mathematics, University of Zanjan, University Blvd., 45371-38791 Zanjan, Iran (email: mehdi.hassani@znu.ac.ir)
*
✉For correspondence; e-mail: jean-marc.deshouillers@math.u-bordeaux.fr
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Abstract

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We study the differentiability of the limiting distribution function associated to the normalized Euler function defined on the shifted primes.

Keywords

distribution functionEuler totient functionshifted primes

MSC classification

Secondary: 11N60: Distribution functions associated with additive and positive multiplicative functions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 93 , Issue 1-2 , October 2012 , pp. 77 - 83
Copyright
Copyright © 2013 Australian Mathematical Publishing Association Inc.

Footnotes

To the memory of Alf van der Poorten, an inspiring mathematician and a friend

References

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