Computing dimensions of spaces of Arakelov divisors of number fields

被引：1
|
作者：
Ha Thanh Nguyen Tran [1 ]
机构：
[1] Aalto Univ, Sch Sci, Dept Math & Syst Anal, Otakaari 1, Espoo 02150, Finland
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2017年 / 13卷 / 02期
基金：
芬兰科学院;
关键词：
Arakelov; effectivity divisor; size function; Poisson summation formula; jump algorithm;
D O I：
10.1142/S1793042117500270
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The function h(0) for a number field is analogous to the dimension of the Riemann-Roch spaces at divisors on an algebraic curve. We provide a method to compute this function for number fields with unit group of rank at most 2, even with large discriminant. This method is based on using LLL-reduced bases, the "jump algorithm" and Poisson summation formula.
引用
收藏
页码：487 / 512
页数：26
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