On square values of the product of the Euler totient and sum of divisors functions

Broughan, Kevin A.Ford, KevinLuca, Florian2013-04-192013-04-1920132012Broughan, K., Ford, K., & Luca, F. (2013). On square values of the product of the Euler totient and sum of divisors functions. Colloquium Mathematicum, 130(1), 127-137.0010-1354https://hdl.handle.net/10289/7484If n is a positive integer such that ϕ(n)σ(n) = m² for some positive integer m, then m≤n. We put m = n - a and we study the positive integers a arising in this way.enEuler functionsum of divisorsOn square values of the product of the Euler totient and sum of divisors functionsJournal Article10.4064/cm130-1-11