A generalization of reduced Arakelov divisors of a number field
Number Theory
2016-05-26 v3
Abstract
Let . Inspired by the LLL-algorithm, we define strongly -reduced divisors of a number field which are generalized from the concept of reduced Arakelov divisors. Moreover, we prove that strongly -reduced Arakelov divisors still retain outstanding properties of the reduced ones: they form a finite, regularly distributed set in the Arakelov class group and the oriented Arakelov class group of .
Keywords
Cite
@article{arxiv.1505.02279,
title = {A generalization of reduced Arakelov divisors of a number field},
author = {Ha Thanh Nguyen Tran},
journal= {arXiv preprint arXiv:1505.02279},
year = {2016}
}
Comments
12 pages