Brian Conrey

activity

20242026

collaborators

4 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 $Π_{0}$ 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 lea…

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 $ζ (s)$ . Their approach indicat…

math-ph2024

Moments of the derivative of the characteristic polynomial of unitary matrices

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

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

math.NT2024

Character Sums and the Riemann Hypothesis