Characterization of global fields by Dirichlet L-series

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Characterization of global fields by Dirichlet L-series
 
Cornelissen, G.L.M.; de Smit, Bart; Li, Xin; Marcolli, Matilde; Smit, H.J.
(2019) Research in Number Theory, volume 5
(Article)
Abstract
We prove that two global fields are isomorphic if and only if there is an isomorphism of groups of Dirichlet characters that preserves L-series.
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Keywords: Class field theory,, L-series, Arithmetic equivalence
DOI: https://doi.org/10.1007/s40993-018-0143-9
ISSN: 2363-9555
Publisher: Springer
(Peer reviewed)
 
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