C. Turnage-Butterbaugh

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20132026

most citedHilbert transforms and the equidistribution of zeros of polynomials

12 citations · 53 across the 21 of their papers we have counts for

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math.NT2026

A decades-long breakthrough in zero-density estimates and primes in short intervals

Caroline L. Turnage-Butterbaugh

The Riemann Hypothesis (RH) asserts that every nontrivial zero of the Riemann zeta-function has real part equal to $1/2$ . A zero-density theorem provides evidence towards RH by bou…

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…

A decades-long breakthrough in zero-density estimates and primes in short intervals

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

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