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
Limiting Distributions in Generalized Zeckendorf Decompositions
Alexandre Gueganic, Granger Carty, Yujin H. Kim +5
An equivalent definition of the Fibonacci numbers is that they are the unique sequence such that every integer can be written uniquely as a sum of non-adjacent terms. We can view t…
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…