Explicit zero density theorems for Dedekind zeta functions

Published 18 Jan 2012 in math.NT | (1201.3932v1)

Abstract: This article studies the zeros of Dedekind zeta functions. In particular, we establish a smooth explicit formula for these zeros and we derive an effective version of the Deuring-Heilbronn phenomenon. In addition, we obtain an explicit bound for the number of zeros in a box.

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