Bauer's congruence in algebraic number fields

被引：0
|
作者：
Lassák, M [1 ]
机构：
[1] Slovak Acad Sci, Inst Math, SK-81473 Bratislava, Slovakia
来源：
NUMBER THEORY | 2000年 / 20卷
关键词：
idempotent; (semi)group belonging to an idempotent; unit group; Bauer's congruence; Wilson's theorem; Gaussian integers; quadratic fields;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper a generalization of the Bauer's congruence in algebraic number fields is proved.
引用
收藏
页码：143 / 154
页数：12
相关论文
共 50 条
  • [31] On quaternion algebras over some extensions of quadratic number fields
    Acciaro, V
    Savin, D.
    Taous, M.
    Zekhnini, A.
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2021, 27 (03):
  • [32] Unit groups of some multiquadratic number fields of degree 16
    Chems-Eddin, Mohamed Mahmoud
    Zekhnini, Abdelkader
    Azizi, Abdelmalek
    SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2022, 16 (02): : 1091 - 1096
  • [33] On fundamental units of real quadratic fields of class number 1
    Dujella, Andrej
    Luca, Florian
    ARCHIV DER MATHEMATIK, 2019, 113 (04) : 349 - 353
  • [34] The average size of Ramanujan sums over quadratic number fields
    Wenguang Zhai
    The Ramanujan Journal, 2021, 56 : 953 - 969
  • [35] Capitulation in the Absolutely Abelian Extensions of some Number Fields II
    Azizi A.
    Zekhnini A.
    Taous M.
    Acta Mathematica Vietnamica, 2017, 42 (1) : 81 - 97
  • [36] On quaternion algebras that split over specific quadratic number fields
    Acciaro, Vincenzo
    Savin, Diana
    Taous, Mohammed
    Zekhnini, Abdelkader
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, (47): : 91 - 107
  • [37] Unit groups of some multiquadratic number fields of degree 16
    Mohamed Mahmoud Chems-Eddin
    Abdelkader Zekhnini
    Abdelmalek Azizi
    São Paulo Journal of Mathematical Sciences, 2022, 16 : 1091 - 1096
  • [38] FAST IDEAL CUBING IN IMAGINARY QUADRATIC NUMBER AND FUNCTION FIELDS
    Imbert, Laurent
    Jacobson, Michael J., Jr.
    Schmidt, Arthur
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2010, 4 (02) : 237 - 260
  • [39] On quaternion algebras over some extensions of quadratic number fields
    V. Acciaro
    D. Savin
    M. Taous
    A. Zekhnini
    Boletín de la Sociedad Matemática Mexicana, 2021, 27
  • [40] On the Hilbert 2-class fields of some real quadratic number fields and applicationsOn the Hilbert 2-class fields of some real quadratic number fieldsB. Aaboun, A. Zekhnini
    B. Aaboun
    A. Zekhnini
    Rendiconti del Circolo Matematico di Palermo Series 2, 2024, 73 (8): : 3277 - 3298
12345