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On sparsely totient numbers

Published online by Cambridge University Press:  18 May 2009

Glyn Harman
Glyn Harman
Affiliation:
School of Mathematics, University of Wales, College of Cardiff, Senghenydd Road, Cardiff CF2 4AG.
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Following Masser and Shiu [6] we say that a positive integer n is sparsely totient if

Here φ is the familiar Euler totient function. We write ℱ for the set of sparsely totient numbers. In [6] several results are proved about the multiplicative structure of ℱ. If we write P(n) for the largest prime factor of n then it was shown (Theorem 2 of [6]) that

and infinitely often

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 33 , Issue 3 , September 1991 , pp. 350 - 358
Copyright
Copyright © Glasgow Mathematical Journal Trust 1991

References

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