Siegel-Ramachandra invariants generate ray class fields

Bumkyu Cho

doi:10.1016/j.jmaa.2012.12.024

Siegel-Ramachandra invariants generate ray class fields

Bumkyu Cho

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Let f be a modulus in an imaginary quadratic field K, and C a ray class mod f. We denote by gf(C) the Siegel-Ramachandra invariant. Suppose that, roughly speaking, f is sufficiently large. Then we will show that K(gf(C)) is the ray class field of modulus f.

Original language	English
Pages (from-to)	293-297
Number of pages	5
Journal	Journal of Mathematical Analysis and Applications
Volume	401
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2012.12.024
State	Published - 1 May 2013

Keywords

Modular functions
Ray class fields

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10.1016/j.jmaa.2012.12.024

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title = "Siegel-Ramachandra invariants generate ray class fields",

abstract = "Let f be a modulus in an imaginary quadratic field K, and C a ray class mod f. We denote by gf(C) the Siegel-Ramachandra invariant. Suppose that, roughly speaking, f is sufficiently large. Then we will show that K(gf(C)) is the ray class field of modulus f.",

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author = "Bumkyu Cho",

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AB - Let f be a modulus in an imaginary quadratic field K, and C a ray class mod f. We denote by gf(C) the Siegel-Ramachandra invariant. Suppose that, roughly speaking, f is sufficiently large. Then we will show that K(gf(C)) is the ray class field of modulus f.

KW - Modular functions

KW - Ray class fields

UR - https://www.scopus.com/pages/publications/84872926969

U2 - 10.1016/j.jmaa.2012.12.024

DO - 10.1016/j.jmaa.2012.12.024

M3 - Article

AN - SCOPUS:84872926969

SN - 0022-247X

VL - 401

SP - 293

EP - 297

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Siegel-Ramachandra invariants generate ray class fields

Abstract

Keywords

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