Upcoming Talks

Ista white

Minimizing GCD sums, multiplicative energy and applications

Date
Thursday, April 4, 2019 11:00 - 12:00
Speaker
Marc Munsch (Uni Graz)
Location
Raiffeisen Lecture Hall, Central Building
Series
Seminar/Talk
Tags
Mathematics and CS Seminar
Host
Tim Browning
Contact
Central building lecture hall

In recent years, the question of maximizing GCD sums regained interest due to its firm link with large values of L-functions, leading for instance to the breakthrough improvement of Bondarenko and Seip concerning the maximum of |ζ(1/2+it)|. In this talk, we address the counterpart problem of minimizing weighted GCD sums and show that it appears naturally in some applications. We consider as well a related optimization question regarding the usual multiplicative energy of a subset of the first N integers. We derive from our results some consequences for short character sums and non-vanishing of theta functions.


Qr image
Download ICS Download invitation
Back to eventlist