On primitive roots of tori: The case of function fields

Yen Mei J. Chen; Yoshiyuki Kitaoka; Jing Yu

doi:10.1007/s00209-002-0451-5

On primitive roots of tori: The case of function fields

Yen Mei J. Chen
, Yoshiyuki Kitaoka
, Jing Yu

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

2 引文斯高帕斯（Scopus）

摘要

We generalize Bilharz's Theorem for double-struck G sign_m to all one-dimensional tori over global function fields of finite constant field. As an application, we also derive an analogue, in the setting of function fields, of a theorem (Chen-Kitaoka-Yu, Roskam) on the distribution of fundamental units modulo primes.

原文	???core.languages.en_GB???
頁（從 - 到）	201-215
頁數	15
期刊	Mathematische Zeitschrift
卷	243
發行號	2
DOIs	https://doi.org/10.1007/s00209-002-0451-5
出版狀態	已出版 - 2月 2003

存取文件

10.1007/s00209-002-0451-5

引用此

@article{66349862bd6242538f765c31265a1ee8,

title = "On primitive roots of tori: The case of function fields",

abstract = "We generalize Bilharz's Theorem for double-struck G signm to all one-dimensional tori over global function fields of finite constant field. As an application, we also derive an analogue, in the setting of function fields, of a theorem (Chen-Kitaoka-Yu, Roskam) on the distribution of fundamental units modulo primes.",

author = "Chen, \{Yen Mei J.\} and Yoshiyuki Kitaoka and Jing Yu",

year = "2003",

month = feb,

doi = "10.1007/s00209-002-0451-5",

language = "???core.languages.en\_GB???",

volume = "243",

pages = "201--215",

journal = "Mathematische Zeitschrift",

issn = "0025-5874",

number = "2",

}

TY - JOUR

T1 - On primitive roots of tori

T2 - The case of function fields

AU - Chen, Yen Mei J.

AU - Kitaoka, Yoshiyuki

AU - Yu, Jing

PY - 2003/2

Y1 - 2003/2

N2 - We generalize Bilharz's Theorem for double-struck G signm to all one-dimensional tori over global function fields of finite constant field. As an application, we also derive an analogue, in the setting of function fields, of a theorem (Chen-Kitaoka-Yu, Roskam) on the distribution of fundamental units modulo primes.

AB - We generalize Bilharz's Theorem for double-struck G signm to all one-dimensional tori over global function fields of finite constant field. As an application, we also derive an analogue, in the setting of function fields, of a theorem (Chen-Kitaoka-Yu, Roskam) on the distribution of fundamental units modulo primes.

UR - https://www.scopus.com/pages/publications/0037934458

U2 - 10.1007/s00209-002-0451-5

DO - 10.1007/s00209-002-0451-5

M3 - 期刊論文

AN - SCOPUS:0037934458

SN - 0025-5874

VL - 243

SP - 201

EP - 215

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 2

ER -

On primitive roots of tori: The case of function fields

摘要

存取文件

指紋

引用此