Page 1 Next

Displaying 1 – 20 of 461

Showing per page

A generalization of Scholz’s reciprocity law

Mark Budden, Jeremiah Eisenmenger, Jonathan Kish (2007)

Journal de Théorie des Nombres de Bordeaux

We provide a generalization of Scholz’s reciprocity law using the subfields K 2 t - 1 and K 2 t of ( ζ p ) , of degrees 2 t - 1 and 2 t over , 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.

Currently displaying 1 – 20 of 461

Page 1 Next