Resumen de The distribution of integers with at least two divisors in a short interval

Kevin Ford, Gérald Tenenbaum

• We estimate the density of integers which have more than one divisor in an interval (y, z] with z y + y/(log y)log 4 ¿ 1. As a consequence, we determine the precise range of z such that most integers which have at least one divisor in (y, z] have exactly one such divisor.