Roughly Squarefree Values of the Euler and Carmichael Functions
نویسنده
چکیده
Let φ 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 φ(n), then p2 ∤ φ(n). We also give similar estimates for the Carmichael function λ.
منابع مشابه
On Two Functions Arising in the Study of the Euler and Carmichael Quotients
We investigate two arithmetic functions naturally occurring in the study of the Euler and Carmichael quotients. The functions are related to the frequency of vanishing of the Euler and Carmichael quotients. We obtain several results concerning the relations between these functions as well as their typical and extreme values.
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