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4 papers · 2 filters
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…
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…
A Random Matrix Model for Elliptic Curve L-Functions of Finite Conductor
Eduardo Dueñez, Duc Khiem Huynh, Jon P. Keating +2
We propose a random matrix model for families of elliptic curve L-functions of finite conductor. A repulsion of the critical zeros of these L-functions away from the center of the…