Real zeros of $L'(s, \chi_d)$MPIM

by Youness Lamzouri (Université de Lorraine)

Wednesday Feb 11, 2026, 2:30 PM → 3:30 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

Number theory lunch seminar

In 1990, R. C. Baker and H. L. Montgomery conjectured that for almost all fundamental discriminants d, the derivative of the Dirichlet L-function associated to the quadratic character modulo d has around log⁡log⁡∣d∣ real zeros on the interval [1/2,1]. Baker and Montgomery's motivation in studying these zeros stems from their connection to real zeros of Fekete polynomials and to sign changes of real character sums. In this talk I will present recent work that settles this conjecture (up to a small factor of log⁡ log log⁡∣d∣). This is based on a joint work with Oleksiy Klurman and Marc Munsch for the lower bound, and a more recent work joint with Kunjakanan Nath for the upper bound.