En poursuivant votre navigation sur ce site, vous acceptez l'utilisation d'un simple cookie d'identification. Aucune autre exploitation n'est faite de ce cookie. OK
1

Subconvexity of L-functions - Part 2

Bookmarks Report an error
Multi angle
Authors : Michel, Philippe (Author of the conference)
CIRM (Publisher )

Loading the player...

Abstract : The subconvexity of L-functions aims to refine estimates of central values, going beyond mere convexity. This is important in analytic number theory, especially in the study of the distribution of prime numbers. Researchers seek to establish more precise bounds for these L-functions to better understand prime numbers, particularly by exploring connections with automorphic forms. This approach offers an enriching perspective for understanding the deep structure of L-functions and also provides insights into advanced conjectures such as the Riemann hypothesis.

Keywords : L-function; automorphic form; subconvexity

MSC Codes :
11F66 - Langlands L-functions; one variable Dirichlet series and functional equations
11F72 - Spectral theory; Selberg trace formula
11M41 - Other Dirichlet series and zeta functions

    Information on the Video

    Film maker : Recanzone, Luca
    Language : English
    Available date : 16/09/2024
    Conference Date : 02/09/2024
    Subseries : Research School
    arXiv category : Number Theory
    Mathematical Area(s) : Number Theory
    Format : MP4 (.mp4) - HD
    Video Time : 01:27:35
    Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students
    Download : https://videos.cirm-math.fr/2024-09-02_Michel_2.mp4

Information on the Event

Event Title : Building Bridges 6th EU/US Summer School on Automorphic Forms and Related Topics (BB6) / FORTNIGHT EVENT - Building Bridges 6th EU/US École sur les formes automorphes et interactions (BB6)
Event Organizers : Anni, Samuele ; Brown, Jim ; Jorgenson, Jay ; Odzak, Almasa ; Smajlovic, Lejla
Dates : 02/09/2024 - 07/09/2024
Event Year : 2024
Event URL : https://conferences.cirm-math.fr/3134.html

Citation Data

DOI : 10.24350/CIRM.V.20242503
Cite this video as: Michel, Philippe (2024). Subconvexity of L-functions - Part 2. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20242503
URI : http://dx.doi.org/10.24350/CIRM.V.20242503

See Also

Bibliography

  • MICHEL, Philippe et VENKATESH, Akshay. The subconvexity problem for GL2. Publications Mathématiques de l'IHÉS, 2010, vol. 111, p. 171-271. - https://doi.org/10.1007/s10240-010-0025-8

  • MICHEL, Philippe. Analytic number theory and families of automorphic $L$-functions, in Automorphic forms and applications, 2007, IAS/Park City Math. Ser., 12, Amer.Math. Soc., Providence, RI., p. 181-295 -



Imagette Video

Bookmarks Report an error