Add to ORKGCommunicated by C. Pomerance We establish an asymptotic formula for the number of positive integers n � x for which ϕ(n) is free of kth powers
AbstractIterating the Euler ϕ-function, we write ϕl(n) = ϕ (ϕl − 1(n)), and, for a fixed l, we inves...
We study the sum [equation omitted for formating reasons] of consecutive iterations of the Euler fun...
If n is a positive integer such that ϕ(n)σ(n) = m² for some positive integer m, then m≤n. We put m =...
AbstractWe establish an asymptotic formula for the number of positive integers n⩽x for which φ(n) is...
We establish an asymptotic formula for the number of positive integers n⩽x for which φ(n) is free of...
We establish an asymptotic formula for the number of positive integers n⩽x for which φ(n) is free of...
AbstractWe establish an asymptotic formula for the number of positive integers n⩽x for which φ(n) is...
Let ϕ denote the Euler function. In this paper, we estimate the number of positive integers n ≤ x wi...
For irreducible polynomials of the form Xd + c we establish the expected asymptotic formula for the ...
Let ϕ(n) and λ(n) denote the Euler and Carmichael functions, respectively. In this paper, we investi...
Let ϕ(n) and λ(n) denote the Euler and Carmichael functions, respectively. In this paper, we investi...
Dedicated to Hugh Williams on the occasion of his sixtieth birthday. Abstract. We establish upper bo...
Let ϕ(·) denote the Euler function, and let a> 1 be a fixed integer. We study several divisibilit...
ABSTRAOT. The 'main purpose of this paper is to study the distribution properties of k-power fr...
Abstract The main purpose of this paper is to study the distribution properties of the k-power free ...
AbstractIterating the Euler ϕ-function, we write ϕl(n) = ϕ (ϕl − 1(n)), and, for a fixed l, we inves...
We study the sum [equation omitted for formating reasons] of consecutive iterations of the Euler fun...
If n is a positive integer such that ϕ(n)σ(n) = m² for some positive integer m, then m≤n. We put m =...
AbstractWe establish an asymptotic formula for the number of positive integers n⩽x for which φ(n) is...
We establish an asymptotic formula for the number of positive integers n⩽x for which φ(n) is free of...
We establish an asymptotic formula for the number of positive integers n⩽x for which φ(n) is free of...
AbstractWe establish an asymptotic formula for the number of positive integers n⩽x for which φ(n) is...
Let ϕ denote the Euler function. In this paper, we estimate the number of positive integers n ≤ x wi...
For irreducible polynomials of the form Xd + c we establish the expected asymptotic formula for the ...
Let ϕ(n) and λ(n) denote the Euler and Carmichael functions, respectively. In this paper, we investi...
Let ϕ(n) and λ(n) denote the Euler and Carmichael functions, respectively. In this paper, we investi...
Dedicated to Hugh Williams on the occasion of his sixtieth birthday. Abstract. We establish upper bo...
Let ϕ(·) denote the Euler function, and let a> 1 be a fixed integer. We study several divisibilit...
ABSTRAOT. The 'main purpose of this paper is to study the distribution properties of k-power fr...
Abstract The main purpose of this paper is to study the distribution properties of the k-power free ...
AbstractIterating the Euler ϕ-function, we write ϕl(n) = ϕ (ϕl − 1(n)), and, for a fixed l, we inves...
We study the sum [equation omitted for formating reasons] of consecutive iterations of the Euler fun...
If n is a positive integer such that ϕ(n)σ(n) = m² for some positive integer m, then m≤n. We put m =...