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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 John Jones on 2020-10-11 16:29:02
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