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

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. [ABSTRACT FROM AUTHOR]