Kaisa Matomäki: Mollifying Dirichlet L-functions and their derivatives

Date: 2024-01-31

Time: 14:00 - 14:50

Zoom link: https://kva-se.zoom.us/j/9217561880

Kaisa Matomöki, University of Turku


I will first discuss how mollified moments have been used to study non-vanishing of Dirichlet L-functions at the central point \(s = 1/2\).
Then I will describe some observations concerning mollifiers. In the final part I will briefly show how some of these observations can be used to improve on the known non-vanishing proportion of \(L'(1/2, \chi)\) (and of higher derivatives). The talk is based on on-going joint work with Martin Čech.