Orders in cubic number fields

被引：2

作者：

Lettl, Guenter ^{[1
]}

Prabpayak, Chanwit ^{[2
]}

机构：

[1] Karl Franzens Univ Graz, Inst Math & Wissensch Rechnen, Heinrichstr 36, A-8010 Graz, Austria

[2] Rajamangala Univ Technol Phra Nakhon, Fac Sci & Technol, 1381 Pibul Songkhram Rd, Bangkok 10800, Thailand

来源：

JOURNAL OF NUMBER THEORY | 2016年 / 166卷

关键词：

Conductor ideal; Zeta function of orders; ALGEBRAIC NUMBER; FORMS;

D O I：

10.1016/j.jnt.2016.02.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any cubic number field K and any conductor ideal f of K we describe how to find all orders of K with conductor f. The result depends only on the factorization of the rational prime numbers in K, and it also yields an elementary proof for a formula for the zeta function of orders in a cubic number field. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：415 / 423

页数：9

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