A generalization of Scholz’s reciprocity law Journal Article

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.

CU Boulder Authors

• Kish, Jonathan

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

published in

• Journal de Theorie des Nombres de Bordeaux  Journal

Other Profiles

Electronic International Standard Serial Number (EISSN)

• 2118-8572

Digital Object Identifier (DOI)

• https://doi.org/10.5802/jtnb.604

Additional Document Info

start page

• 583

end page

• 594

volume

• 19

issue

• 3