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arXiv · 2510.27444

Estimating the number of zeros of Dedekind zeta-functions

Victor Amberger
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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 $T\geq1$ counted with multiplicity. The error term in corresponding asymptotic formula improves all previous results, even in the case of the Riemann zeta function.

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Victor Amberger. 2025-10-31. Estimating the number of zeros of Dedekind zeta-functions. https://arxiv.org/abs/2510.27444

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