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arXiv · 1508.00287

Bounding the least prime ideal in the Chebotarev Density Theorem

Asif Zaman
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Abstract

Let $L$ be a finite Galois extension of the number field $K$. We unconditionally bound the least prime ideal of $K$ occurring in the Chebotarev Density Theorem as a power of the discriminant of $L$ with an explicit exponent. We also establish a quantitative Deuring-Heilbronn phenomenon for the Dedekind zeta function.

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Asif Zaman. 2015-08-02. Bounding the least prime ideal in the Chebotarev Density Theorem. https://doi.org/10.7169/facm%2F1651

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