### 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 |
---|---|

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 |

### Fingerprint

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

^{n}

*Mathematical Proceedings of the Cambridge Philosophical Society*,

*141*(1), 1-13. https://doi.org/10.1017/S0305004106009248

**Prime divisors of special values of theta functions in the ray class field of a certain quartic field modulo 2 ^{n}
.** / Fukuda, Takashi; Kanayama, Naoki; Komatsu, Keiichi.

Research output: Contribution to journal › Article

^{n}',

*Mathematical Proceedings of the Cambridge Philosophical Society*, vol. 141, no. 1, pp. 1-13. https://doi.org/10.1017/S0305004106009248

^{n}Mathematical Proceedings of the Cambridge Philosophical Society. 2006 Jul;141(1):1-13. https://doi.org/10.1017/S0305004106009248

}

TY - JOUR

T1 - Prime divisors of special values of theta functions in the ray class field of a certain quartic field modulo 2n

AU - Fukuda, Takashi

AU - Kanayama, Naoki

AU - Komatsu, Keiichi

PY - 2006/7

Y1 - 2006/7

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33745714182&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33745714182&partnerID=8YFLogxK

U2 - 10.1017/S0305004106009248

DO - 10.1017/S0305004106009248

M3 - Article

AN - SCOPUS:33745714182

VL - 141

SP - 1

EP - 13

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

IS - 1

ER -