Zeros of Dedekind zeta functions under GRH

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.

Some misprints corrected, simplified proof for a lemma. This version will appear in Mathematics of Computation

References in corpus (2)

• Explicit versions of the prime ideal theorem for Dedekind zeta functions under GRH
• Explicit smoothed prime ideals theorems under GRH

Cited by in corpus (1)

• Explicit smoothed prime ideals theorems under GRH