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L-Series Again

  • Serge Lang
Chapter
Part of the Graduate Texts in Mathematics book series (GTM, volume 110)

Abstract

Let χ be a character of the idele classes C k (or equivalently, of J k ,vanishing on k*),that is a continuous homomorphism
and assume in addition throughout this section that χ has finite period. Then the kernel H χ of χ is a closed subgroup of finite index, which is therefore open, and has a class field denoted by K χ.

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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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