Title

The discriminant problem for Artin-Schreier extensions: Explicit results

Publication Title

Finite Fields and their Applications

ISSN

10715797

E-ISSN

10902465

Document Type

Article

Abstract

Given a global function field K of characteristic p, for all effective divisors D in the divisor group of K we count the number of cyclic extensions F⊃K of degree p where the relative discriminant DiscK(F)=(p−1)D.

Publication Date

12-1-2020

DOI

10.1016/j.ffa.2020.101740

Keywords

Discriminant, Global function field

Department

Department of Mathematical Sciences

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