Characterization of global fields by Dirichlet L-series
Publication date
2019
Authors
Cornelissen, Gunther
de Smit, Bart
Li, Xin
Marcolli, Matilde
Smit, Harry
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Advisors
Supervisors
Document Type
Article
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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.
Keywords
Class field theory,, L-series, Arithmetic equivalence
Citation
Cornelissen, G L M, de Smit, B, Li, X, Marcolli, M & Smit, H J 2019, 'Characterization of global fields by Dirichlet L-series', Research in Number Theory, vol. 5, 7. https://doi.org/10.1007/s40993-018-0143-9