Cornelissen, Gunther and de Smit, Bart and Li, Xin and Marcolli, Matilde and Smit, Harry (2019) Characterization of global fields by Dirichlet L-series. Research in Number Theory, 5 (1). Art. No. 7. ISSN 2522-0160. https://resolver.caltech.edu/CaltechAUTHORS:20170712-082510174
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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: | Article | |||||||||
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| Alternate Title: | Reconstructing global fields from Dirichlet L-series | |||||||||
| Additional Information: | © The Author(s) 2018. Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. Received: 24 April 2018 Accepted: 10 November 2018, Published online: 26 November 2018. Part of this work was done whilst the first and third author enjoyed the hospitality of the University of Warwick (special thanks to Richard Sharp for making it possible). | |||||||||
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| Subject Keywords: | Class field theory, L-series, Arithmetic equivalence | |||||||||
| Issue or Number: | 1 | |||||||||
| Classification Code: | Mathematics Subject Classification: 11R37, 11R42, 11R56, 14H30 | |||||||||
| Record Number: | CaltechAUTHORS:20170712-082510174 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170712-082510174 | |||||||||
| Official Citation: | Cornelissen, G., de Smit, B., Li, X. et al. Res. number theory (2019) 5: 7. https://doi.org/10.1007/s40993-018-0143-9 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 78986 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 12 Jul 2017 17:08 | |||||||||
| Last Modified: | 03 Oct 2019 18:14 |
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