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

Takashi Fukuda; Naoki Kanayama; Keiichi Komatsu

doi:10.1017/S0305004106009248

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

Takashi Fukuda, Naoki Kanayama, Keiichi Komatsu

Research output: Contribution to journal › Article

1 Citation (Scopus)

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 2ⁿ, 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	https://doi.org/10.1017/S0305004106009248
Publication status	Published - 2006 Jul

Fingerprint

ASJC Scopus subject areas

Mathematics(all)

Cite this

Fukuda, T., Kanayama, N., & Komatsu, K. (2006). Prime divisors of special values of theta functions in the ray class field of a certain quartic field modulo 2ⁿ Mathematical Proceedings of the Cambridge Philosophical Society, 141(1), 1-13. https://doi.org/10.1017/S0305004106009248

@article{30a1630ea69f4b2aaa9f820665cf5e0b,

title = "Prime divisors of special values of theta functions in the ray class field of a certain quartic field modulo 2n ",

abstract = "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.",

author = "Takashi Fukuda and Naoki Kanayama and Keiichi Komatsu",

year = "2006",

month = jul

doi = "10.1017/S0305004106009248",

language = "English",

volume = "141",

pages = "1--13",

journal = "Mathematical Proceedings of the Cambridge Philosophical Society",

issn = "0305-0041",

publisher = "Cambridge University Press",

number = "1",

}

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 -

Access to Document

10.1017/S0305004106009248