A DETERMINANT FORMULA FOR RELATIVE CONGRUENCE ZETA FUNCTIONS FOR CYCLOTOMIC FUNCTION FIELDS

被引：1

作者：

Shiomi, Daisuke ^{[1
]}

机构：

[1] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2010年 / 89卷 / 01期

关键词：

congruence zeta function; cyclotomic function fields; CLASS NUMBER;

D O I：

10.1017/S1446788710000261

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Rosen gave a determinant formula for relative class numbers for cyclotomic function fields, which may be regarded as an analogue of the classical Maillet determinant. In this paper, we give a determinant formula for relative congruence zeta functions for cyclotomic function fields. Our formula may be regarded as a generalization of the determinant formula for the relative class number.

引用

页码：133 / 144

页数：12

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