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Zeros, moments and determinants

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Authors : Snaith, Nina (Author of the conference)
CIRM (Publisher )

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Abstract : For 20 years we have known that average values of characteristic polynomials of random unitary matrices provide a good model for moments of the Riemann zeta function. Now we consider mixed moments of characteristic polynomials and their derivatives, calculations which are motivated by questions on the distribution of zeros of the derivative of the Riemann zeta function.

MSC Codes :
11M06 - $ \zeta (s)$ and $L(s, \chi)$
11M26 - Nonreal zeros of $ \zeta (s)$ and $L(s, \chi)$; Riemann and other hypotheses
15B52 - Random matrices

Additional resources :
https://www.cirm-math.fr/RepOrga/2104/Slides/Snaith_Luminy19.pdf

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 09/05/2019
    Conference Date : 08/04/2019
    Subseries : Research talks
    arXiv category : Number Theory ; Mathematical Physics ; Probability
    Mathematical Area(s) : Mathematical Physics ; Probability & Statistics
    Format : MP4 (.mp4) - HD
    Video Time : 00:48:29
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2019-04-08_Snaith.mp4

Information on the Event

Event Title : Chaire Jean-Morlet : Equation intégrable aux données initiales aléatoires / Jean-Morlet Chair : Integrable Equation with Random Initial Data
Event Organizers : Basor, Estelle ; Bufetov, Alexander ; Cafasso, Mattia ; Grava, Tamara ; McLaughlin, Ken
Dates : 08/04/2019 - 12/04/2019
Event Year : 2019
Event URL : https://www.chairejeanmorlet.com/2104.html

Citation Data

DOI : 10.24350/CIRM.V.19514303
Cite this video as: Snaith, Nina (2019). Zeros, moments and determinants. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19514303
URI : http://dx.doi.org/10.24350/CIRM.V.19514303

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