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Article . 2014
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Article . 2014
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On the Ratio of the Sum of Divisors and Euler's Totient Function II.

On the ratio of the sum of divisors and Euler's totient function. II.
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014 New Zealand Publisher:University of Waterloo, School of Computer Science, Waterloo, ONJournal:J. Integer Seq., volume 17
Authors: Broughan, Kevin A.; Zhou, Qizhi;

handle: 10289/9375

On the Ratio of the Sum of Divisors and Euler's Totient Function II.

Abstract

Summary: We find the form of all solutions to \(\varphi (n)/ \sigma (n)\) with three or fewer prime factors, except when the quotient is 4 and \(n\) is even. For Part I see J. Integer Seq. 16, No. 8, Article 13.8.8, 16 p. (2013; Zbl 1342.11008).

Country
New Zealand
Related Organizations
Keywords

Euler's totient function, sum of divisors, Sum of divisors, Arithmetic functions; related numbers; inversion formulas, Euler’s totient function, 510

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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