Zeros of Dedekind zeta functions under GRH

Grenié, Loïc; Molteni, Giuseppe

doi:10.1090/mcom/3024

Zeros of Dedekind zeta functions under GRH
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by Loïc Grenié and Giuseppe Molteni;

Math. Comp. 85 (2016), 1503-1522

DOI: https://doi.org/10.1090/mcom/3024

Published electronically: October 9, 2015

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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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