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SUMMARY:Real zeros of $L'(s\, \\chi_d)$ [MPIM]
DTSTART:20260211T133000Z
DTEND:20260211T143000Z
DTSTAMP:20260417T205200Z
UID:indico-event-1114@math-events.uni-bonn.de
DESCRIPTION:Speakers: Youness Lamzouri (Université de Lorraine)\n\nNumber
  theory lunch seminar\nIn 1990\, R. C. Baker and H. L. Montgomery conjectu
 red that for almost all fundamental discriminants d\, the derivative of th
 e 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 connectio
 n to real zeros of Fekete polynomials and to sign changes of real characte
 r sums. In this talk I will present recent work that settles this conjectu
 re (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.\n\nhttp
 s://math-events.uni-bonn.de/event/1114/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1114/
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