## Abstract

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 2^{n}, 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.

Original language | English |
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Pages (from-to) | 1-13 |

Number of pages | 13 |

Journal | Mathematical Proceedings of the Cambridge Philosophical Society |

Volume | 141 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2006 Jul |

## ASJC Scopus subject areas

- Mathematics(all)

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