A generalization of Scholz’s reciprocity law Journal Article uri icon

Overview

abstract

  • ; We provide a generalization of Scholz’s reciprocity law using the subfields; ; ; K; ; 2; ; t; -; 1; ; ; ; ; and; ; ; K; ; 2; t; ; ; ; of; ; ; ℚ; (; ; ζ; p; ; ); ; ; , of degrees; ; ; 2; ; t; -; 1; ; ; ; and; ; ; 2; t; ; ; over; ; ℚ; ; , respectively. The proof requires a particular choice of primitive element for; ; ; K; ; 2; t; ; ; ; over; ; ; K; ; 2; ; t; -; 1; ; ; ; ; and is based upon the splitting of the cyclotomic polynomial; ; ; ; Φ; p; ; ; (; x; ); ; ; ; over the subfields.;

publication date

  • September 26, 2010

has restriction

  • bronze

Date in CU Experts

  • November 9, 2020 2:07 AM

Full Author List

  • Budden M; Eisenmenger J; Kish J

author count

  • 3

Other Profiles

Electronic International Standard Serial Number (EISSN)

  • 2118-8572

Additional Document Info

start page

  • 583

end page

  • 594

volume

  • 19

issue

  • 3