We construct certain algebraic integers αn 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 αn in connection to the relationships between cyclotomic units and exponential functions and between elliptic units and elliptic theta functions.
|ジャーナル||Mathematical Proceedings of the Cambridge Philosophical Society|
|出版ステータス||Published - 2006 7月|
ASJC Scopus subject areas
- 数学 (全般)