Moments of the derivative of characteristic polynomials and L-functions

December 1 to December 5, 2025

at the

American Institute of Mathematics, Pasadena, California

organized by

Michael Rubinstein, Nina Snaith, and Caroline Turnage-Butterbaugh

Original Announcement

This workshop will focus on the connection between random matrix theory and number theory, in the context of 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.

Possible topics, both for characteristic polynomials and L-functions:

Material from the workshop

A list of participants.

The workshop schedule.

Workshop videos