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
收藏
相关论文
共 50 条
  • [21] Stark units in positive characteristic
    Angles, Bruno
    Tuan Ngo Dac
    Ribeiro, Floric Tavares
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2017, 115 : 763 - 812
  • [22] Kolyvagin systems of Stark units
    Bueyuekboduk, Kazim
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2009, 631 : 85 - 107
  • [23] Fundamental units of real quadratic fields of odd class number
    Zhang, Zhe
    Yue, Qin
    JOURNAL OF NUMBER THEORY, 2014, 137 : 122 - 129
  • [24] On fundamental units of real quadratic fields of class number 1
    Andrej Dujella
    Florian Luca
    Archiv der Mathematik, 2019, 113 : 349 - 353
  • [25] UNITS FOR GENERAL CLASS OF TOTAL REAL ALGEBRAIC NUMBER FIELDS
    STENDER, HJ
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1972, 257 : 151 - &
  • [26] On fundamental units of real quadratic fields of class number 1
    Dujella, Andrej
    Luca, Florian
    ARCHIV DER MATHEMATIK, 2019, 113 (04) : 349 - 353
  • [27] On the Stark Units of Drinfeld Modules
    Ribeiro, Floric Tavares
    ARITHMETIC AND GEOMETRY OVER LOCAL FIELDS, VIASM 2018, 2021, 2275 : 281 - 324
  • [28] ON ELLIPTIC UNITS AND CLASS NUMBER OF A CERTAIN NON-GALOIS NUMBER-FIELD
    HAYASHI, H
    MANUSCRIPTA MATHEMATICA, 1983, 45 (01) : 13 - 27
  • [29] Units from 5-torsion on the Jacobian of y2=x5+1/4 and the conjectures of Stark and Rubin
    Grant, D
    JOURNAL OF NUMBER THEORY, 1999, 77 (02) : 227 - 251
  • [30] REMARKS ON HEEGNER-STARK THEOREM ON IMAGINARY-QUADRATIC NUMBER FIELDS WITH CLASS-NUMBER ONE
    MEYER, C
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1970, 242 : 179 - &
12345