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Bounding the least prime ideal in the Chebotarev Density Theorem (1508.00287v3)
Published 2 Aug 2015 in math.NT
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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