Estimating the number of zeros of Dedekind zeta-functions
Authors
Victor Amberger
Abstract
In this article, I derive a new approach to estimate the number of non-trivial zeros of a given Dedekind zeta function with absolute height at most $T>=1$ counted with multiplicity. The error term in corresponding asymptotic formula improves all previous results, even in the case of the Riemann zeta function.
