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Averages of Zagier L-functions
Post-edited
Authors : Balkanova, Olga (Author of the conference)
CIRM (Publisher )
11F12 - Automorphic forms, one variable
11F67 - Special values of automorphic $L$-series, periods of modular forms, cohomology, modular symbols
11M32 - Multiple Dirichlet series and zeta functions and multizeta values
CIRM (Publisher )
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| Zagier L-functions Cohen's numbers Kuznetsov formula Symmetric square L-functions Averages of Zagier L-functions Multiple Zeta functions |
Abstract :
In 1976, Zagier established a functional equation for the generalized Dirichlet L-functions that are part of the Fourier-Whittaker expansion of halfintegral weight Eisenstein series. The special values of these L-functions at 1/2 and at 1 are of particular interest because of the connection with the Selberg trace formula, with moments of symmetric square L-functions and with the prime geodesic theorem. In this talk, we describe various properties of Zagier L-functions and consider several problems related to the asymptotic evaluation of averages of special L-values.
Keywords : Zagier L-function; Cohen numbers; moments
MSC Codes : Keywords : Zagier L-function; Cohen numbers; moments
11F12 - Automorphic forms, one variable
11F67 - Special values of automorphic $L$-series, periods of modular forms, cohomology, modular symbols
11M32 - Multiple Dirichlet series and zeta functions and multizeta values
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 20/12/2019 Conference Date : 02/12/2019 Subseries : Research talks arXiv category : Number Theory Mathematical Area(s) : Number Theory ; Dynamical Systems & ODE Format : MP4 (.mp4) - HD Video Time : 00:28:27 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-12-02_Balkanova.mp4 
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Information on the Event
Event Title : Zeta Functions / Fonctions ZêtaEvent Organizers : Armana, Cécile ; Fiorilli, Daniel ; Jouve, Florent ; Louboutin, Stephane Dates : 02/12/2019 - 06/12/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/2062.html
Citation Data
DOI : 10.24350/CIRM.V.19585803Cite this video as: Balkanova, Olga (2019). Averages of Zagier L-functions. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19585803 URI : http://dx.doi.org/10.24350/CIRM.V.19585803 |
See Also
- [Multi angle] Prime numbers with preassigned digits / Author of the conference Swaenepoel, Cathy.
- [Multi angle] Monogenic cubic fields and local obstructions / Author of the conference Shnidman, Ari.
- [Multi angle] On Epstein's zeta function and related random functions / Author of the conference Södergren, Anders.
Bibliography
