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SUMMARY:Habiba Kadiri (University of Lethbridge)
DTSTART:20211021T223000Z
DTEND:20211021T233000Z
DTSTAMP:20260422T054045Z
UID:SFUQNTAG/44
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SFUQNTAG/44/
 ">Primes in the Chebotarev density theorem for all number fields</a>\nby H
 abiba Kadiri (University of Lethbridge) as part of SFU NT-AG seminar\n\nLe
 cture held in AQ 4145.\n\nAbstract\nLet $L/K$ be a Galois extension of num
 ber fields such that $L\\not=\\mathbb{Q}$\, and let $C$ be a conjugacy cla
 ss in the Galois group of $L/K$. We show that there exists an unramified p
 rime $\\mathfrak{p}$ of $K$ such that $\\sigma_{\\mathfrak{p}}=C$ and $N \
 \mathfrak{p} \\le d_{L}^{B}$ with $B= 310$. This improves a previous resul
 t of Ahn and Kwon\, who showed that $B=12\\\,577$ is admissible. The main 
 tool is a stronger Deuring-Heilbronn (zero-repulsion) phenomenon. We also 
 use Fiori's numerical verification for a finite list of fields. This is jo
 int work with Peng-Jie Wong (NCTS\, Taiwan).\n
LOCATION:https://researchseminars.org/talk/SFUQNTAG/44/
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