On the maximum modulus of integers in Kummer extensions

被引：0
|
作者：
J. Mello
机构：
[1] University of New South Wales,School of Mathematics and Statistics
来源：
Acta Mathematica Hungarica | 2021年 / 164卷
关键词：
Kummer extension; integral representation; maximum modulus; 11S23; 11R20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the extension of a result of Loxton [5] on representation of algebraic integers as sums of roots of unity to Kummer extensions.
引用
收藏
页码：66 / 84
页数：18
相关论文
共 50 条
  • [31] On the Galois module structure of cyclic Kummer extensions
    Miyata, Yoshimasa
    JOURNAL OF ALGEBRA, 2008, 320 (09) : 3461 - 3480
  • [32] Factor base discrete logarithms in Kummer extensions
    Xiao, Dianyan
    Zhuang, Jincheng
    Cheng, Qi
    FINITE FIELDS AND THEIR APPLICATIONS, 2018, 53 : 205 - 225
  • [33] EXISTENCE OF INTEGRAL BASES IN KUMMER EXTENSIONS AND COMPOSITES
    THOME, A
    ARCHIV DER MATHEMATIK, 1988, 51 (06) : 523 - 531
  • [34] On the ring of integers of a tame Kummer extension over a number field
    Ichimura, H
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2004, 187 (1-3) : 169 - 182
  • [35] ON THE UNRAMIFIED KUMMER EXTENSIONS OF QUADRATIC EXTENSIONS OF THE PRIME CYCLOTOMIC NUMBER-FIELD
    NAKAGOSHI, N
    ARCHIV DER MATHEMATIK, 1991, 57 (06) : 566 - 570
  • [36] On the extensions of the Diophantine triples in Gaussian integers
    Adzaga, Nikola
    Filipin, Alan
    Franusic, Zrinka
    MONATSHEFTE FUR MATHEMATIK, 2022, 197 (04): : 535 - 563
  • [37] On the extensions of the Diophantine triples in Gaussian integers
    Nikola Adžaga
    Alan Filipin
    Zrinka Franušić
    Monatshefte für Mathematik, 2022, 197 : 535 - 563
  • [38] Decimal extensions of the additive group of integers
    Rosales, JC
    García-García, JI
    COMMUNICATIONS IN ALGEBRA, 2001, 29 (02) : 789 - 798
  • [39] Structure of relative genus fields of cubic Kummer extensions
    Aouissi, Siham
    Azizi, Abdelmalek
    Ismaili, Moulay Chrif
    Mayer, Daniel C.
    Talbi, Mohamed
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2023, 29 (03):
  • [40] Multi-point codes over Kummer extensions
    Chuangqiang Hu
    Shudi Yang
    Designs, Codes and Cryptography, 2018, 86 : 211 - 230
12345