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Euler's ø-function and its iterates

Published online by Cambridge University Press:  26 February 2010

P. Erdős  and
R. R. Hall
P. Erdős
Affiliation:
Department of Mathematics, University of York, England.
R. R. Hall
Affiliation:
Department of Mathematics, University of York, England.
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Extract

In this paper we continue our study of the values taken by Euler's ø-function begun in [1]–[3]. Let ør(n) be the iterated ø-function, that is ør(n) = ø{ør-1(n} where ø1 = ø1. Let

Type
Research Article
Information
Mathematika , Volume 24 , Issue 2 , December 1977 , pp. 173 - 177
Copyright
Copyright © University College London 1977

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References

1.Erdős, P.. “On the normal number of prime factors of p – 1 and some related problems concerning Euler's ø-function”, Quart. J. Math., 6 (1935), 205–213.CrossRefGoogle Scholar
2.Erdős, P. and Hall, R. R.. “On the values of Euler's ø-function”, Acta Arith. XXII (1973), 201–206.CrossRefGoogle Scholar
3.Erdős, P. and Hall, R. R.. “Distinct values of Euler's ø-function”. Mathematika, 23 (1976), 1–3.CrossRefGoogle Scholar