The distribution of badly approximable rationals and continuants with bounded digits, II Academic Article uri icon

abstract

  • For fixed n > 1, let Qn(x) = {(a, b) ∈ Z × Z such that 1 ≤ a ≤ b ≤ x, gcd(a, b) = 1, and all digits are ≤ n in the continued fraction expansion of a/b}. An asymptotic estimate for # Qn(x) as x → t8 is established, as is the asymptotic distribution of a b within Qn(x). © 1990.

author list (cited authors)

  • Hensley, D.

citation count

  • 10

publication date

  • March 1990