There are two number fields naturally associated to a Dirichlet character $\chi$ of modulus $q$:
- the field of values: $\Q(\chi(1),\ldots,\chi(q-1))$;
- the fixed field: $\mathbb{Q}(\zeta_q)^{\ker(\chi)}$.
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- Last edited by John Cremona on 2018-11-28 10:08:26
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- 2018-11-28 10:08:26 by John Cremona (Reviewed)