Derives an asymptotic formula for the count of integers in [1,x] with a divisor in (y,z) under z/y to infinity using Poisson-Dirichlet approximation and a new comparison inequality.
The distribution of integers with a divisor in a given interval
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Poisson-Dirichlet approximation for counting integers with divisors in an interval
Derives an asymptotic formula for the count of integers in [1,x] with a divisor in (y,z) under z/y to infinity using Poisson-Dirichlet approximation and a new comparison inequality.