Subconvexity of L-functions - Part 3 | Vidéo | Carmin.tv

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Subconvexity of L-functions - Part 3

Appears in 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.

Information about the video

Date of recording 03/09/2024
Date of publication 16/09/2024
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.20242603
Cite this video Nelson, Paul (03/09/2024). Subconvexity of L-functions - Part 3. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20242603
URL https://dx.doi.org/10.24350/CIRM.V.20242603

Domain(s)

Number Theory

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 -

MSC codes

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