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math.NT2018
Simple zeros of automorphic -functions
Andrew R. Booker, Peter J. Cho, Myoungil Kim
We prove that the complete -function associated to any cuspidal automorphic representation of has infinitely many simple zeros.
math.NT2018
Low-lying zeros of cubic Dirichlet -functions and the Ratios Conjecture
Peter J. Cho, Jeongho Park
We compute the one-level density for the family of cubic Dirichlet -functions when the support of the Fourier transform of a test function is in . We also establish the…