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

Takashi Fukuda; Naoki Kanayama; Keiichi Komatsu

doi:10.1017/S0305004106009248

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

Takashi Fukuda^*, Naoki Kanayama, Keiichi Komatsu

^*この研究の対応する著者

研究成果: Article › 査読

1 被引用数 (Scopus)

抄録

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

本文言語	English
ページ（範囲）	1-13
ページ数	13
ジャーナル	Mathematical Proceedings of the Cambridge Philosophical Society
巻	141
号	1
DOI	https://doi.org/10.1017/S0305004106009248
出版ステータス	Published - 2006 7月

ASJC Scopus subject areas

数学 (全般)

文献へのアクセス

10.1017/S0305004106009248

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引用スタイル

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