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Subconvexity of L-functions - Part 1

By Philippe Michel

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.

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Citation data

  • DOI 10.24350/CIRM.V.20242303
  • Cite this video MICHEL, Philippe (02/09/2024). Subconvexity of L-functions - Part 1. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20242303
  • URL https://dx.doi.org/10.24350/CIRM.V.20242303

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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 -

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