Document Type
Presentation
Location
Bryant Hall 209
Start Date
20-5-2019 4:00 PM
End Date
20-5-2019 5:00 PM
Description
This talk will present an effective Chebotarev theorem that holds for all but a possible zero-density subfamily of certain families of number fields of fixed degree. For certain families, this work is unconditional, and in other cases it is conditional on the strong Artin conjecture and certain conjectures on counting number fields. As an application, we obtain nontrivial average upper bounds on ℓ-torsion in the class groups of the families of fields.
Recommended Citation
Turnage-Butterbaugh, Caroline, "An effective Chebotarev density theorem for families of fields, with an application to class groups" (2019). NSF-CBMS Conference: L-functions and Multiplicative Number Theory. 22.
https://egrove.olemiss.edu/cbms2019/2019/schedule/22
Video of Turnage-Butterbaugh
Included in
An effective Chebotarev density theorem for families of fields, with an application to class groups
Bryant Hall 209
This talk will present an effective Chebotarev theorem that holds for all but a possible zero-density subfamily of certain families of number fields of fixed degree. For certain families, this work is unconditional, and in other cases it is conditional on the strong Artin conjecture and certain conjectures on counting number fields. As an application, we obtain nontrivial average upper bounds on ℓ-torsion in the class groups of the families of fields.