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