00:00:00 / 00:00:00
3 4

Subconvexity of L-functions - Part 3

By Paul Nelson

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

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)

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 -

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow




Register

  • Bookmark videos
  • Add videos to see later &
    keep your browsing history
  • Comment with the scientific
    community
  • Get notification updates
    for your favorite subjects
Give feedback