127 citations · 1.2k across the 174 of their papers we have counts for
10 papers · 1 filter
Low-lying Zeros of Cuspidal Maass Forms
Nadine Amersi, Geoffrey Iyer, Oleg Lazarev +2
The Katz-Sarnak Density Conjecture states that the behavior of zeros of a family of -functions near the central point (as the conductors tend to zero) agree with the behavior of…
Distribution of Eigenvalues of Weighted, Structured Matrix Ensembles
Olivia Beckwith, Victor Luo, Steven J. Miller +2
The limiting distribution of eigenvalues of N x N random matrices has many applications. One of the most studied ensembles are real symmetric matrices with independent entries iidr…
Virus Dynamics on Starlike Graphs
Thealexa Becker, Alexander Greaves-Tunnell, Leonid Aryeh Kontorovich +3
The field of epidemiology has presented fascinating and relevant questions for mathematicians, primarily concerning the spread of viruses in a community. The importance of this res…
Surpassing the Ratios Conjecture in the 1-level density of Dirichlet -functions
Daniel Fiorilli, Steven J. Miller
We study the -level density of low-lying zeros of Dirichlet -functions in the family of all characters modulo , with . For test functions whose Fourier tran…
Distribution of Missing Sums in Sumsets
Oleg Lazarev, Steven J. Miller, Kevin O'Bryant
For any finite set of integers X, define its sumset X+X to be {x+y: x, y in X}. In a recent paper, Martin and O'Bryant investigated the distribution of |A+A| given the uniform dist…
Generalized More Sums Than Differences Sets
Geoffrey Iyer, Oleg Lazarev, Steven J. Miller +1
A More Sums Than Differences (MSTD, or sum-dominant) set is a finite set such that . Though it was believed that the percentage of subsets of $\{…