2 citations · 3 across the 4 of their papers we have counts for
4 papers
4-rank distribution of Picard groups of hyperelliptic curves via -symmetric matrices
Elia Gorokhovsky, Mengzhen Liu
We determine the large-genus limiting distribution of the 4-rank of the Picard group of hyperelliptic curves over a fixed finite field of odd characteristic. This is…
Laplacian Fractional Revival on Graphs
Ada Chan, Bobae Johnson, Mengzhen Liu +3
We develop the theory of fractional revival in the quantum walk on a graph using its Laplacian matrix as the Hamiltonian. We first give a spectral characterization of Laplacian fra…
Laplacian pretty good fractional revival
Ada Chan, Bobae Johnson, Mengzhen Liu +3
We develop the theory of pretty good fractional revival in quantum walks on graphs using their Laplacian matrices as the Hamiltonian. We classify the paths and the double stars tha…
Explicit Burgess Bound for Composite Moduli
Niraek Jain-Sharma, Tanmay Khale, Mengzhen Liu
We prove an explicit version of Burgess' bound on character sums for composite moduli.