CYLOTOMIC FUNCTION FIELDS OVER FINITE FIELDS WITH CLASS NUMBER THREE

被引：0

作者：

Bilhan, Mehpare ^{[1
]}

Buyruk, Dilek ^{[2
]}

Ozbudak, Ferruh ^{[1
,3
]}

机构：

[1] Middle East Tech Univ, Dept Math, TR-06531 Ankara, Turkey

[2] Abant Izzet Baysal Univ, Dept Math, TR-14280 Golkoy, Bolu, Turkey

[3] Middle East Tech Univ, Inst Appl Math, TR-06531 Ankara, Turkey

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2019年 / 56卷 / 02期

关键词：

class number; cyclotomic function field; L-polynomial; CYCLOTOMIC FUNCTION-FIELDS; SUBFIELDS;

D O I：

10.4134/JKMS.j180279

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We list all subfields of cyclotomic function fields over rational function fields with class number three. We also determine all the imaginary abelian extensions with relative class number three, explicitly.

引用

页码：559 / 578

页数：20

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