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math.CV2023
Generalizations of Koga's version of the Wiener-Ikehara theorem
Bin Chen, Jasson Vindas
We establish new versions of the Wiener-Ikehara theorem where only boundary assumptions on the real part of the Laplace transform are imposed. Our results generalize and improve a…
math.NT2023
On the density hypothesis for -functions associated with holomorphic cusp forms
Bin Chen, Gregory Debruyne, Jasson Vindas
We study the range of validity of the density hypothesis for the zeros of -functions associated with cusp Hecke eigenforms of even integral weight and prove that $N_{f}(σ, T…