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arXiv:1509.06883 [math.NT]AbstractReferencesReviewsResources

On The Determination Of Number Fields By Artin L-Functions

Juergen Klueners, Florin Nicolae

Published 2015-09-23Version 1

We prove that a Galois number field is determined by any Artin L-function corresponding to a faithful character of the Galois group. The result is best possible in the sense that it is easy to produce counter examples whenever the character is not faithful.

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