# Régis de la Bretèche: Mean value of Erdos–Hooley Delta-function

**Time: **
Wed 2024-04-03 14.00 - 14.50

**Location: **
Institut Mittag-Leffler, Seminar Hall Kuskvillan and Zoom

**Video link: **
Meeting ID: 921 756 1880

**Participating: **
Régis de la Bretèche (Institut de Mathématiques de Jussieu-Paris Rive Gauche, Université Paris Cité)

**Abstract:**

The Erdos–Hooley Delta-function is a measure of divisors concentration in a dyadic interval of an integer. Recently, Ford, Koukoulopoulos and Tao proved new upper and lower bound of the mean value of Erdos–Hooley Delta-function. In a joint work with Tenenbaum, we improve their result. We shall explain the new ideas of Ford—Koukoulopoulos—Tao and how to improve their results. We will present some applications in diophantine geometry.