The Newman phenomenon and Lucas sequence
Number Theory
2012-02-20 v3 Combinatorics
Abstract
This article gives an alternative proof of the fact that N_{Q(zeta)/Q}(1-zeta)=p where p is an odd prime number and zeta is a primitive p-th root of unity, and uses it to prove that N_{Q(zeta)/Q}(1+zeta-zeta^2)=L(p) the p-th Lucas number. It shows a relation between this result and a generalisation of the Newman phenomenon.
Cite
@article{arxiv.1108.5352,
title = {The Newman phenomenon and Lucas sequence},
author = {Alexandre Aksenov},
journal= {arXiv preprint arXiv:1108.5352},
year = {2012}
}
Comments
21 pages