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Published March 2019 | Submitted + Published
Journal Article Open

Characterization of global fields by Dirichlet L-series

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.

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).

Attached Files

Published - Cornelissen2018_Article_CharacterizationOfGlobalFields.pdf

Submitted - 1706.04515.pdf

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Additional details

Created:
August 19, 2023
Modified:
March 5, 2024