Classifying Brumer's quintic polynomials by weak Mordell-Weil groups
Number Theory
2008-02-04 v1
Abstract
We develop a general classification theory for Brumer's dihedral quintic polynomials by means of Kummer theory arising from certain elliptic curves. We also give a similar theory for cubic polynomials.
Cite
@article{arxiv.0802.0054,
title = {Classifying Brumer's quintic polynomials by weak Mordell-Weil groups},
author = {Masanari Kida and Yuichi Rikuna and Atsushi Sato},
journal= {arXiv preprint arXiv:0802.0054},
year = {2008}
}
Comments
10 pages