Harbingers of Artin's Reciprocity Law. IV. Bernstein's Reciprocity Law

Details Harbingers of Artin's Reciprocity Law. IV. Bernstein's Reciprocity Law Harbingers of Artin's Reciprocity Law. IV. Bernstein's Reciprocity Law

2012-02-26

arxiv.org/abs/1202.5774v1

Mathematics

Number Theory

Scientific paper

In the last article of this series we will first explain how Artin's reciprocity law for unramified abelian extensions can be formulated with the help of power residue symbols, and then show that, in this case, Artin's reciprocity law was already stated by Bernstein in the case where the base field contains the roots of unity necessary for realizing the Hilbert class field as a Kummer extension. Bernstein's article appeared in 1904, almost 20 years before Artin conjectured his version of the reciprocity law, and seems to have been overlooked completely.

Affiliated with

Also associated with

No associations

Rating

Harbingers of Artin's Reciprocity Law. IV. Bernstein's Reciprocity Law does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Harbingers of Artin's Reciprocity Law. IV. Bernstein's Reciprocity Law, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Harbingers of Artin's Reciprocity Law. IV. Bernstein's Reciprocity Law will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-216108