Timothy Cheek

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math.NT2025

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

Timothy Cheek, Pico Gilman, Kareem Jaber +3

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

Lower Order Biases in Moment Expansions of One Parameter Families of Elliptic Curves

Timothy Cheek, Pico Gilman, Kareem Jaber +3

For a fixed elliptic curve $E$ without complex multiplication, $a_{p} := p + 1 - # E (F_{p})$ is $O (p)$ and $a_{p} /2 p$ converges to a semicircular distribution. Miche…

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

Lower Order Biases in Moment Expansions of One Parameter Families of Elliptic Curves

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