Subconvexity of L-functions - Part 2 | Vidéo | Carmin.tv

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Subconvexity of L-functions - Part 2

De Philippe Michel

Apparaît dans la collection : 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)

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.

Informations sur la vidéo

Date de captation 02/09/2024
Date de publication 16/09/2024
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs, Doctorants
Réalisateur(s) Luca Recanzone
Format MP4

Données de citation

DOI 10.24350/CIRM.V.20242503
Citer cette vidéo MICHEL, Philippe (02/09/2024). Subconvexity of L-functions - Part 2. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20242503
URL https://dx.doi.org/10.24350/CIRM.V.20242503

Domaine(s)

Théorie des nombres

Bibliographie

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 -

Codes MSC

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