L-series and isomorphisms of number fields

H.J. Smit

Research output: Working paperAcademic


Two number fields with equal Dedekind zeta function are not necessarily isomorphic. However, if the number fields have equal sets of Dirichlet L-series then they \emph{are} isomorphic. We extend this result by showing that the isomorphisms between the number fields are in bijection with L-series preserving isomorphisms between the character groups.
Original languageEnglish
Number of pages16
Publication statusPublished - 18 Jan 2019


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