Daniel Hu, Ikuya Kaneko, Spencer Martin, Carl Schildkraut
Published 2021-07-07Version 1
Answering a question of Browkin, we unconditionally establish that the Dedekind zeta function of a number field $L$ has infinitely many nontrivial zeros of multiplicity greater than 1 if $L$ has a subfield $K$ for which $L/K$ is a nonabelian Galois extension.
The smallest prime that does not split completely in a number field
Computing the residue of the Dedekind zeta function
On the lowest zero of Dedekind zeta function
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