Vol. 8, No. 5, 2015

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

Luis Elesban Santos Cruz and Florian Luca

Vol. 8 (2015), No. 5, 745–748
Abstract

We find examples of positive integers n such that ϕ(n3)σ(n3) is a perfect square.

Keywords
sum of divisors, Euler function
Mathematical Subject Classification 2010
Primary: 11B68, 11A25
Milestones
Received: 19 October 2013
Revised: 29 August 2014
Accepted: 7 September 2014
Published: 28 September 2015

Communicated by Filip Saidak
Authors
Luis Elesban Santos Cruz
Departamento de Matemáticas Aplicadas
Universidad de Istmo
Ciudad Universitaria S/N
Barrio Santa Cruz, 4a Sección, Santo Domingo
70110 Tehuantepec, Oaxaca
Mexico
Florian Luca
School of Mathematics
University of the Witwatersrand
P.O. Box Wits 2050
Johannesburg, 2000 South Africa