The distribution of integers with a divisor in a given interval
The distribution of integers with a divisor in a given interval
We determine the order of magnitude of H(x, y, z), the number of integers n ≤ x having a divisor in (y, z], for all x, y and z.We also study H r (x, y, z), the number of integers n ≤ x having exactly r divisors in (y, z].When …