M. Tom'e

collaborators

4 papers

math.NT2025

Modulation groups

Jayce R. Getz, Armando GutiÃ©rrez Terradillos, Farid Hosseinijafari +6

Conjectures of Braverman and Kazhdan, NgÃ´ and Sakellaridis have motivated the development of Schwartz spaces for certain spherical varieties. We prove that under suitable assumpti…

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…

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 ErdÅs-Falconer distance problem over finite fields. For a graph $G$ , two embeddings $p, p^{'} : V (G) \to F_{q}^{d}$ of a graph $G$ are congruent…

Modulation groups

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

Congruence Classes of Simplex Structures in Finite Field Vector Spaces

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