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# Chen An : A Chebotarev density theorem for certain families of D_4-quartic fields

In a recent paper of Pierce, Turnage-Butterbaugh, and Wood, the authors proved an effective Chebotarev density theorem for families of number fields. Notably D_4-quartic fields have not been treated in their paper. In this talk, I will explain the importance of the case for D_4-quartic fields and will present my proof of a Chebotarev density theorem for certain families of D_4-quartic fields. The key tools are a lower bound for the number of fields in the families and a zero-free region for almost all fields in the families.

**Category**: Graduate/Faculty Seminar**Duration**: 01:14:43**Date**: October 1, 2018 at 11:55 AM-
**Tags:**seminar, Graduate/faculty Seminar

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