A Note on Number Fields Sharing the List of Dedekind Zeta-Functions of Abelian Extensions with some Applications towards the Neukirch-Uchida Theorem

Pavel Solomatin

Given a number field $K$ one associates to it the set ${\Lambda }_K$ of Dedekind zeta-functions of finite abelian extensions of $K$. In this short note we present a proof of the following T…