English

The Norm Index Theorem (An Analytic Proof)

Number Theory 2007-07-11 v1 Spectral Theory

Abstract

We give an analytic proof of the norm index theorem [I:KN(IL)]=[L:K][I_:K^* N(I_L)] =[L:K] for cyclic extensions of number fields using spectral theory of the idele class group.

Cite

@article{arxiv.0707.1325,
  title  = {The Norm Index Theorem (An Analytic Proof)},
  author = {Rainer Weissauer},
  journal= {arXiv preprint arXiv:0707.1325},
  year   = {2007}
}
R2 v1 2026-06-21T08:56:34.339Z