Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593342 | Journal of Number Theory | 2016 | 15 Pages |
Abstract
We determine the defect def(Δ,N)def(Δ,N), i.e., the deviation from surjectivity of the attached Galois representation, and the degree f(Δ,N)f(Δ,N) of the constant field extension in the N -th torsion field of the twisted Carlitz module with discriminant Δ, where Δ,N∈A=Fq[T]Δ,N∈A=Fq[T].
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ernst-Ulrich Gekeler,