Hecke Character - Special Cases

Special Cases

  • A Dirichlet character is a Hecke character of finite order. It is determined by values on the set of totally positive principal ideals which are 1 with respect to some modulus m.
  • A Hilbert character is a Dirichlet character of conductor 1. The number of Hilbert characters is the order of the class group of the field; more precisely, class field theory identifies the Hilbert characters with the characters of the class group.

Read more about this topic:  Hecke Character

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