The study improves the Chebotarev density theorem's error bound in number fields, suggesting advancements in number theory.
We unconditionally improve the uniformity in the Chebotarev density theorem for Galois extensions of number fields using nonabelian base change. This leads to the first theoretical improvement over Weiss’s bound for the least norm of an unramified prime ideal with given Artin symbol.
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Thorner et al. (2026) studied this question.
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