Assuming GRH, the authors prove new upper bounds on the total multiplicity of zeros and deduce that at least 45.85% of zeros of quadratic-field Dedekind zeta functions are distinct.
Theory of Approximation
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Pair correlation for Dedekind zeta functions of abelian extensions
Assuming GRH, the authors prove new upper bounds on the total multiplicity of zeros and deduce that at least 45.85% of zeros of quadratic-field Dedekind zeta functions are distinct.