On square values of the product of the Euler totient and sum of divisors functions
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Abstract
If 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.
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Broughan, 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.
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Polskiej Akademii Nauk, Instytut Matematyczny(Polish Academy of Sciences, Institute of Mathematics)