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Two number fields are arithmetically equivalent if they have the same Dedekind $\zeta$-functions. Arithmetically equivalent fields share many invariants, such as their degrees, signatures, discriminants, and Galois groups. For a given field, the existence of an arithmetically equivalent sibling depends only on the Galois group.

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  • Review status: reviewed
  • Last edited by Kiran S. Kedlaya on 2018-07-07 21:49:26
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