Explicit zero density theorems for Dedekind zeta functions

Details Explicit zero density theorems for Dedekind zeta functions Explicit zero density theorems for Dedekind zeta functions

2012-01-18

arxiv.org/abs/1201.3932v1

J. of Number Theory Vol. 132, (2012) 748-775

Mathematics

Number Theory

24 pages

Scientific paper

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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