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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 without complex multiplication, is and converges to a semicircular distribution. Miche…
math.CO2024
Congruence Classes of Simplex Structures in Finite Field Vector Spaces
Timothy Cheek, Joseph Cooper, Pico Gilman +6
We study a generalization of the Erdős-Falconer distance problem over finite fields. For a graph , two embeddings of a graph are congruent i…
math.NT2024
On the Density of Low Lying Zeros of a Large Family of Automorphic -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…