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16 March 2025
 
  » arxiv » 1508.0287

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Bounding the least prime ideal in the Chebotarev Density Theorem
Asif Zaman ;
Date 2 Aug 2015
AbstractLet $L$ 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.
Source arXiv, 1508.0287
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