一些高阶数域的Hilbert亏格域

IF 0.3 Q4 MATHEMATICS

Acta Mathematica Vietnamica Pub Date : 2022-12-02 DOI:10.1007/s40306-022-00489-8

Mohamed Mahmoud Chems-Eddin, Moulay Ahmed Hajjami, Mohammed Taous

引用次数: 0

摘要

本文的目的是给出Hilbert亏格域的一些性质，并构造域\（L_｛m，d｝：=\mathbb｛Q｝（\ zeta _｛2^｛m｝｝，\ sqrt｛d｝）\）的Hilbert亏格域，其中m≥ 3是正整数，d是素数等于±的无平方整数 3（mod 8）或9（mod 16）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Hilbert Genus Fields of Some Number Fields with High Degrees

The aim of this paper is to give some properties of Hilbert genus fields and construct the Hilbert genus fields of the fields \(L_{m,d}:=\mathbb {Q}(\zeta _{2^{m}},\sqrt {d})\), where m ≥ 3 is a positive integer and d is a square-free integer whose prime divisors are congruent to ± 3 (mod 8) or 9 (mod 16).

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来源期刊

Acta Mathematica Vietnamica MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.