Power values of the product of the Euler function and the sum of divisors function

Luis Elesban Santos Cruz; Florian Luca

doi:10.2140/involve.2015.8.745

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Home > Journals > Involve > Volume 8 > Issue 5 > Article

2015 Power values of the product of the Euler function and the sum of divisors function

Luis Elesban Santos Cruz, Florian Luca

Involve 8(5): 745-748 (2015). DOI: 10.2140/involve.2015.8.745

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Abstract

We find examples of positive integers $n$ such that $ϕ (n^{3}) σ (n^{3})$ is a perfect square.

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Luis Elesban Santos Cruz. Florian Luca. "Power values of the product of the Euler function and the sum of divisors function." Involve 8 (5) 745 - 748, 2015. https://doi.org/10.2140/involve.2015.8.745

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Received: 19 October 2013; Revised: 29 August 2014; Accepted: 7 September 2014; Published: 2015

First available in Project Euclid: 22 November 2017

zbMATH: 1367.11014

MathSciNet: MR3404653

Digital Object Identifier: 10.2140/involve.2015.8.745

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Primary: 11A25 , 11B68

Keywords: Euler function , sum of divisors

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Luis Elesban Santos Cruz, Florian Luca "Power values of the product of the Euler function and the sum of divisors function," Involve: A Journal of Mathematics, Involve 8(5), 745-748, (2015)

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