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.
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页码：133 / 144
页数：12
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