Prime divisors of special values of theta functions in the ray class field of a certain quartic field modulo 2n

被引：2

作者：

Fukuda, Takashi

Kanayama, Naoki

Komatsu, Keiichi

机构：

[1] Nihon Univ, Dept Math, Coll Ind Technol, Chiba, Japan

[2] Univ Electrocommun, Dept Informat & Commun Engn, Tokyo 1828585, Japan

[3] Waseda Univ, Dept Math Sci, Sch Sci & Engn, Tokyo 1698555, Japan

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2006年 / 141卷

关键词：

D O I：

10.1017/S0305004106009248

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct certain algebraic integers alpha(n) as special values of two variable theta functions in the ray class field of a certain quartic field modulo 2(n), and study a property of prime ideals which appear in alpha(n) in connection to the relationships between cyclotomic units and exponential functions and between elliptic units and elliptic theta functions.

引用

页码：1 / 13

页数：13

共 10 条

[1] NOVEL ARCHITECTURES OF MODULO 2n ± 1 ADDERS FOR FIELD PROGRAMMABLE GATE ARRAY
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[7] THETA-FUNCTIONS ON THE N-FOLD METAPLECTIC COVER OF SL(2) - THE FUNCTION-FIELD CASE
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INVENTIONES MATHEMATICAE, 1992, 107 (01) : 61 - 86
[8] AUTOMORPHIC CUSP FORMS FOR GL(2) ON AN IMAGINARY QUADRATIC FIELD - SPECIAL VALUES OF L-FUNCTIONS AND CONGRUENCES
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[10] THE RESIDUE-CLASS MODULO 2-TO-THE-E-PLUS-2 OF THE VALUE (2-TO-THE-E)(N)ZETA(1-(2-TO-THE-E)N,R) OF THE ZETA-FUNCTION OF AN IDEAL-CLASS FROM THE REAL-QUADRATIC NUMBER-FIELD Q(SQUARE-ROOT-OF-D) WITH D = 3 MOD 4
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