Reduced ideals from the reduction algorithm
Number Theory
2018-08-17 v2
Abstract
The reduction algorithm is used to compute reduced ideals of a number field. However, there are reduced ideals that can never be obtained from this algorithm. In this paper, we will show that these ideals have inverses of larger norms among reduced ones. Especially, we represent a sufficient and necessary condition for reduced ideals of real quadratic fields to be obtained from the reduction algorithm.
Keywords
Cite
@article{arxiv.1711.07573,
title = {Reduced ideals from the reduction algorithm},
author = {Ha Thanh Nguyen Tran},
journal= {arXiv preprint arXiv:1711.07573},
year = {2018}
}