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math.NT2025
Explicit zero-free regions for automorphic -functions
Steven Creech, Alia Hamieh, Simran Khunger +3
Let be the -function associated with a newform of even weight , squarefree level and trivial nebentypus. In this paper, we establish a new explicit zero-free…
math.NT2025
On the moments of one-level densities in families of holomorphic cusp forms in the level aspect
Peter Cohen, Justine Dell, Oscar E. González +10
We study the centered moments of the -level density for the low-lying zeros of -functions attached to holomorphic cuspidal newforms of large prime level and fixe…