Emil Artin first defined the L-function of a complex Galois representation in [Art23]. Satz 3 on page 105 of that paper gives the meromorphic continuation of these L-functions, and in a few paragraphs after the theorem Artin writes:

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Artin L-Functions

  • Claus Sorensen

摘要

Emil Artin first defined the L-function of a complex Galois representation in [Art23]. Satz 3 on page 105 of that paper gives the meromorphic continuation of these L-functions, and in a few paragraphs after the theorem Artin writes: