Skip to main content
To KTH's start page

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)

Export to calendar

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.

To the calendar