Abstract
We estimate the density of integers which have more than one divisor in an interval (y, z] with z ≈ y + y/(log y)log4-1. 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.
Original language | English (US) |
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Pages (from-to) | 187-201 |
Number of pages | 15 |
Journal | Quarterly Journal of Mathematics |
Volume | 58 |
Issue number | 2 |
DOIs | |
State | Published - Jun 2007 |
ASJC Scopus subject areas
- General Mathematics