3 citations · 4 across the 5 of their papers we have counts for
7 papers
A Random Matrix Model for a Family of Cusp Forms
Owen Barrett, Zoë X. Batterman, Aditya Jambhale +4
The Katz-Sarnak philosophy states that statistics of zeros of -function families near the central point as the conductors tend to infinity agree with those of eigenvalues of ran…
A Survey of a Random Matrix Model for a Family of Cusp Forms
Owen Barrett, Zoë X. Batterman, Aditya Jambhale +4
The Katz-Sarnak philosophy states that statistics of zeros of -function families near the central point as the conductors tend to infinity agree with those of eigenvalues of ran…
The singular support of an -adic sheaf
Owen Barrett
We define the singular support of an -adic sheaf on a smooth variety over any field. To do this, we combine Beilinson's construction of the singular support for torsion étale…
The derived category of the abelian category of constructible sheaves
Owen Barrett
We show that the triangulated category of bounded constructible complexes on an algebraic variety X over an algebraically closed field is equivalent to the bounded derived category…
One-Level density for holomorphic cusp forms of arbitrary level
Owen Barrett, Paula Burkhardt, Jonathan DeWitt +2
In 2000 Iwaniec, Luo, and Sarnak proved for certain families of -functions associated to holomorphic newforms of square-free level that, under the Generalized Riemann Hypothesis…
From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond
Owen Barrett, Frank W. K. Firk, Steven J. Miller +1
The discovery of connections between the distribution of energy levels of heavy nuclei and spacings between prime numbers has been one of the most surprising and fruitful observati…
Gaps between zeros of GL(2) -functions
Owen Barrett, Brian McDonald, Steven J. Miller +3
Let be an -function associated to a primitive (holomorphic or Maass) cusp form on GL(2) over . Combining mean-value estimates of Montgomery and Vaughan…