Characterization of global fields by Dirichlet L-series

Cornelissen, G., de Smit, B., Li, X. , Marcolli, M. and Smit, H. (2019) Characterization of global fields by Dirichlet L-series. Research in Number Theory, 5(1), 7. (doi: 10.1007/s40993-018-0143-9)

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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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Li, Professor Xin
Authors: Cornelissen, G., de Smit, B., Li, X., Marcolli, M., and Smit, H.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Research in Number Theory
Publisher:Springer
ISSN:2363-9555
ISSN (Online):2363-9555
Published Online:26 November 2018
Copyright Holders:Copyright © 2018 The Authors
First Published:First published in Research in Number Theory 5(1): 7
Publisher Policy:Reproduced under a Creative Commons License

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