A Chebotarev density theorem for certain families of D_4-quartic fields

Graduate/faculty Seminar

Chen An

Monday, October 1, 2018 -
12:00pm to 1:00pm
Location: 
119 Physics

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.

Last updated: 2019/09/19 - 2:23pm