Review of 'On An Inequality about Euler’s totient function'

Reviewer: Faraj .A. Abdunabi

Inviter role(s): AUTHOR

Publication date of review: 2024-09-21

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Faraj .A. Abdunabi5

On An Inequality about Euler’s totient functionCrossref ScienceOpen

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On An Inequality about Euler’s totient function

Cheng-Ting Wang (2024)

In this paper, we show that when

$N_k$ is a primorial and

$\varphi(N_k)$ is Euler’s totient function, the inequality

$\varphi(N_k) < \frac{N_k}{e^{\gamma}\log{\log{N_k}}}$ holds for all sufficiently large k.

0 comments Cited 0 times     Rated -3 of 5. – based on 1 reviews

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DOI:: 10.14293/S2199-1006.1.SOR-MATH.AHWASP.v1.RHSTYM

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This work has been published open access under Creative Commons Attribution License CC BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com.

ScienceOpen disciplines: Number theory

Keywords: Euler’s totient function,Prime numbers,Primorials