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Brauer's theoremBrauer's theorem implies meromorphic continuation of Artin L-functions (indeed, I believe that was Brauer's motivation).

http://en.wikipedia.org/wiki/Brauer's_theorem_on_induced_characters

Brauer's theorem implies meromorphic continuation of Artin L-functions (indeed, I believe that was Brauer's motivation).

http://en.wikipedia.org/wiki/Brauer's_theorem_on_induced_characters

Brauer's theorem implies meromorphic continuation of Artin L-functions (indeed, I believe that was Brauer's motivation).

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Brauer's theorem implies meromorphic continuation of Artin L-functions (indeed, I believe that was Brauer's motivation).

http://en.wikipedia.org/wiki/Brauer's_theorem_on_induced_characters