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math.NT2024
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…
math.NT2024
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…
math.NT2014★ 3 cited
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…