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Prime divisors of special values of theta functions in the ray class field of a certain quartic field modulo $2^n$
Published online by Cambridge University Press: 03 July 2006
Abstract
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.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 141 , Issue 1 , July 2006 , pp. 1 - 13
- Copyright
- 2006 Cambridge Philosophical Society
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