Open Access
June 2004 Ray class field of prime conductor of a real quadratic field
Yoshiyuki Kitaoka
Proc. Japan Acad. Ser. A Math. Sci. 80(6): 83-85 (June 2004). DOI: 10.3792/pjaa.80.83

Abstract

Let $F$ be a real quadratic field and $\mathfrak{p}$ a prime ideal of degree 2. We construct a quadratic extension of the Hilbert class field in the ray class field of conductor $\mathfrak{p}$.

Citation

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Yoshiyuki Kitaoka. "Ray class field of prime conductor of a real quadratic field." Proc. Japan Acad. Ser. A Math. Sci. 80 (6) 83 - 85, June 2004. https://doi.org/10.3792/pjaa.80.83

Information

Published: June 2004
First available in Project Euclid: 13 May 2005

zbMATH: 1126.11064
MathSciNet: MR2075446
Digital Object Identifier: 10.3792/pjaa.80.83

Subjects:
Primary: 11R37

Keywords: Algebraic number field , distribution , unit

Rights: Copyright © 2004 The Japan Academy

Vol.80 • No. 6 • June 2004
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