Brian Conrey

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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.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

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