Brian Conrey

collaborators

3 papers

math.NT2026

Critical Zeros and Unconditional Mean Value Theorems for twisted $PGL (2)$ and $PGL (3)$ $L$ -functions

Brian Conrey, Chung-Hang Kwan, Yongxiao Lin +1

Let $I^_{0}$ be a cuspidal automorphic representation of $PGL_{3} (A_{Q})$ . In this paper, we use Levinson's method to prove that, as $Q \to \infty$ , at le…

math-ph2025

Moments of the derivative of the characteristic polynomial of unitary matrices

Emilia Alvarez, Brian Conrey, Michael O. Rubinstein +1

Let $I^_{X} (s) = det (I - s X^{†})$ be the characteristic polynomial of a Haar distributed unitary matrix $X$ . It is believed that the distribution of values of $I^_{X} (s)$ model the…

math.NT2025

Twisted moments of characteristic polynomials of random matrices in the unitary group

Siegfred Baluyot, Brian Conrey

Recently, Keating and the second author of this paper devised a heuristic for predicting asymptotic formulas for moments of the Riemann zeta-function $I^¶ (s)$ . Their approach indica…

Critical Zeros and Unconditional Mean Value Theorems for twisted PGL(2) and PGL(3) L-functions

Moments of the derivative of the characteristic polynomial of unitary matrices

Twisted moments of characteristic polynomials of random matrices in the unitary group

Critical Zeros and Unconditional Mean Value Theorems for twisted $PGL (2)$ and $PGL (3)$ $L$ -functions