3 papers
math.NT2019
A Refined Conjecture for the Variance of Gaussian Primes Across Sectors
Ryan C. Chen, Yujin H. Kim, Jared D. Lichtman +6
We derive a refined conjecture for the variance of Gaussian primes across sectors, with a power saving error term, by applying the L-functions Ratios Conjecture. We observe a bifur…
math.NT2018
-adic Properties of Hauptmoduln with Applications to Moonshine
Ryan C. Chen, Samuel Marks, Matthew Tyler
The theory of monstrous moonshine asserts that the coefficients of Hauptmoduln, including the -function, coincide precisely with the graded characters of the monster module, an…
math-ph2018
Spectral Statistics of Non-Hermitian Random Matrix Ensembles
Ryan C. Chen, Yujin H. Kim, Jared D. Lichtman +3
Recently Burkhardt et. al. introduced the -checkerboard random matrix ensembles, which have a split limiting behavior of the eigenvalues (in the limit all but of the eigenva…