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.
|Number of pages||13|
|Journal||Mathematical Proceedings of the Cambridge Philosophical Society|
|Publication status||Published - 2006 Jul|
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