A generalization of reduced Arakelov divisors of a number field

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A generalization of reduced Arakelov divisors of a number field. / Tran Nguyen Thanh, Ha.

In: Journal of Number Theory, Vol. 167, 01.10.2016, p. 104-117.

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Tran Nguyen Thanh, Ha. / A generalization of reduced Arakelov divisors of a number field. In: Journal of Number Theory. 2016 ; Vol. 167. pp. 104-117.

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@article{faf5519222ad48c5823b0842c86e48e3,
title = "A generalization of reduced Arakelov divisors of a number field",
abstract = "Let C≥ 1. Inspired by the LLL-algorithm, we define strongly C-reduced divisors of a number field F which are generalized from the concept of reduced Arakelov divisors. Moreover, we prove that strongly C-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 F.",
keywords = "Arakelov class group, Arakelov divisor, C-reduced, Infrastructure, Reduced, Strongly C-reduced",
author = "{Tran Nguyen Thanh}, Ha",
year = "2016",
month = "10",
day = "1",
doi = "10.1016/j.jnt.2016.03.006",
language = "English",
volume = "167",
pages = "104--117",
journal = "Journal of Number Theory",
issn = "0022-314X",
publisher = "Academic Press Inc.",

}

RIS - Download

TY - JOUR

T1 - A generalization of reduced Arakelov divisors of a number field

AU - Tran Nguyen Thanh, Ha

PY - 2016/10/1

Y1 - 2016/10/1

N2 - Let C≥ 1. Inspired by the LLL-algorithm, we define strongly C-reduced divisors of a number field F which are generalized from the concept of reduced Arakelov divisors. Moreover, we prove that strongly C-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 F.

AB - Let C≥ 1. Inspired by the LLL-algorithm, we define strongly C-reduced divisors of a number field F which are generalized from the concept of reduced Arakelov divisors. Moreover, we prove that strongly C-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 F.

KW - Arakelov class group

KW - Arakelov divisor

KW - C-reduced

KW - Infrastructure

KW - Reduced

KW - Strongly C-reduced

UR - http://www.scopus.com/inward/record.url?scp=84966762355&partnerID=8YFLogxK

U2 - 10.1016/j.jnt.2016.03.006

DO - 10.1016/j.jnt.2016.03.006

M3 - Article

VL - 167

SP - 104

EP - 117

JO - Journal of Number Theory

JF - Journal of Number Theory

SN - 0022-314X

ER -

ID: 4124345