Rubin–Stark units and the class number

被引：0

作者：

Saad El Boukhari

Youness Mazigh

机构：

[1] Moulay Ismail University of Meknès,Department of Mathematics

来源：

Research in Number Theory | 2024年 / 10卷

关键词：

Artin ; -functions; Stark units; Generalized index of modules; Class number; 11R42; 11R29; 11R27;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We state and prove a Gras-type equality relating a certain module generated by Rubin–Stark units and the ray class number. We use for this purpose the notion of generalized index.

引用

共 50 条

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COMPOSITIO MATHEMATICA, 2009, 145 (02) : 364 - 392
[42] ON THE CLASS NUMBER OF A COMPOSITUM OF REAL QUADRATIC FIELDS: AN APPROACH VIA CIRCULAR UNITS
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[49] Class number two problem for real quadratic fields with fundamental units with the positive norm
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[50] ON ELLIPTIC UNITS AND CLASS NUMBER OF A CERTAIN DIHEDRAL EXTENSION OF DEGREE 2L
HAYASHI, H
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