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
  • [1] On the maximum modulus of integers in Kummer extensions
    Mello, J.
    ACTA MATHEMATICA HUNGARICA, 2021, 164 (01) : 66 - 84
  • [2] On computations in Kummer extensions
    Daberkow, M
    JOURNAL OF SYMBOLIC COMPUTATION, 2001, 31 (1-2) : 113 - 131
  • [3] INFINITE KUMMER EXTENSIONS
    LEAHEY, W
    MATHEMATICA SCANDINAVICA, 1966, 18 (01) : 16 - &
  • [4] MAXIMAL ABELIAN EXTENSIONS VIEWED AS KUMMER EXTENSIONS
    ALBISGONZALEZ, V
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (01): : A69 - A70
  • [5] A NOTE ON RELATIVE KUMMER EXTENSIONS
    Barrera Mora, Fernando
    Lam Estrada, Pablo
    JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2015, 37 (02): : 133 - 155
  • [6] Gradings of Quadratic Kummer Extensions
    Badulin, D. A.
    Kanunnikov, A. L.
    MOSCOW UNIVERSITY MATHEMATICS BULLETIN, 2022, 77 (02) : 97 - 101
  • [7] CONTRIBUTIONS TO THE THEORY OF KUMMER EXTENSIONS
    WOJCIK, J
    ACTA ARITHMETICA, 1982, 40 (02) : 155 - 174
  • [8] Weierstrass points on Kummer extensions
    Abdon, Miriam
    Borges, Herivelto
    Quoos, Luciane
    ADVANCES IN GEOMETRY, 2019, 19 (03) : 323 - 333
  • [9] Gradings of Quadratic Kummer Extensions
    D. A. Badulin
    A. L. Kanunnikov
    Moscow University Mathematics Bulletin, 2022, 77 : 97 - 101
  • [10] EXTENSIONS TO ISOLIC INTEGERS
    NERODE, A
    ANNALS OF MATHEMATICS, 1962, 75 (03) : 419 - &
12345