Steven J. Miller

collaborators

3 papers

math.NT2025

Breaking Universality in the Lower Order Terms in the 1-level and 2-level Density of Holomorphic Cusp Newforms

Lawrence Dillon, Xiaoyao Huang, Say-Yeon Kwon +6

The Katz-Sarnak density conjecture states that, as the analytic conductor $R \to \infty$ , the distribution of the normalized low-lying zeros (those near the central point $s = 1/2$ …

math.NT2024

On the Density of Low Lying Zeros of a Large Family of Automorphic $L$ -functions

Timothy Cheek, Pico Gilman, Kareem Jaber +2

Under the generalized Riemann Hypothesis (GRH), Baluyot, Chandee, and Li nearly doubled the range in which the density of low lying zeros predicted by Katz and Sarnak is known to h…

math.NT2024

Upper Bounds for the Lowest First Zero in Families of Cuspidal Newforms

Xueyiming Tang, Steven J. Miller

Assuming the Generalized Riemann Hypothesis, the non-trivial zeros of $L$ -functions lie on the critical line with the real part $1/2$ . We find an upper bound of the lowest first ze…

Breaking Universality in the Lower Order Terms in the 1-level and 2-level Density of Holomorphic Cusp Newforms

On the Density of Low Lying Zeros of a Large Family of Automorphic L-functions

Upper Bounds for the Lowest First Zero in Families of Cuspidal Newforms

On the Density of Low Lying Zeros of a Large Family of Automorphic $L$ -functions