Moments of the derivative of characteristic polynomials and L-functions

nt.number-theory
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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