5 papers
Variants of Conway Checkers and k-nacci Jumping
Glenn Bruda, Joseph Cooper, Kareem Jaber +2
Conway Checkers is a game played with a checker placed in each square of the lower half of an infinite checkerboard. Pieces move by jumping over an adjacent checker, removing the c…
On the Density of Low Lying Zeros of a Large Family of Automorphic -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…
Colorings of symmetric unions and partial knots
Ben Clingenpeel, Zongzheng Dai, Gabriel Diraviam +12
Motivated by work of Kinoshita and Teraska, Lamm introduced the notion of a symmetric union, which can be constructed from a partial knot by introducing additional crossings to…
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…
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 , two embeddings of a graph are congruent…