## Roughly squarefree values of the Euler and Carmichael functions

Banks, William David, 1964-

Luca, Florian

##### Abstract

Let ' denote the Euler function. In this paper, we estimate the number of positive integers n ≤ x with the property that if a prime p > y divides '(n), then p2 ∤ '(n). We also give similar estimates for the Carmichael function _.

##### Part of

Mathematics publications (MU)

##### Citation

Acta Arith. 120 (2005), 211-230.