A property of the counting function of integers with no large prime factors Academic Article uri icon

abstract

  • For logy log log x → ∞ as x → ∞, ψ(Cx, y) ≈ Cψ(x, y) uniformly for C in compact subsets of (0, 1]. The condition logy log log x → ∞ is necessary. For fixed sufficiently large K, x → ∞, and y = exp(K log log x), we have for 1 2 ≤ C ≤ 1 that Ψ(Cx,y)≈C1-1/KΨ(x,y). © 1986.

author list (cited authors)

  • Hensley, D.

citation count

  • 5

publication date

  • January 1986