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Zeros of Dedekind zeta functions under GRH

Published 5 Jul 2014 in math.NT | (1407.1375v3)

Abstract: Assuming GRH, we prove an explicit upper bound for the number of zeros of a Dedekind zeta function having imaginary part in $[T-a,T+a]$. We also prove a bound for the multiplicity of the zeros.

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