Moments of the derivative of characteristic polynomials and L-functions
- Start Date
- 2025-12-01
- End Date
- 2025-12-05
- Institution
- American Institute of Mathematics
- City
- Pasadena
- Country
- United States
- Meeting Type
- workshop
- Homepage
- https://aimath.org/workshops/upcoming/lprime/
- Contact Name
- Michelle Manes
- Created
- 4/15/25, 8:45 PM
- Modified
- 4/15/25, 8:45 PM
Description
moments of the derivative of characteristic polynomials of matrices from the classical compact groups, and of the analogous L-functions.
These inquiries become particularly intricate when the exponent on the derivative is non-integer or when the evaluation point of the characteristic polynomial approaches the unit circle at varying rates. Exploring these statistics will improve our understanding of the distribution of zeros, and the value distribution of L-functions
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