Distribution of units of algebraic number fields with only one fundamental unit
Yoshiyuki Kitaoka
Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 80, Number 6
(2004), 86-89.
Abstract
For some algebraic number fields $F$ with only one fundamental unit, we give a lower bound of the extension degree of the ray class field of conductor a rational prime $p$ over the Hilbert class field of $F$.
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Permanent link to this document: http://projecteuclid.org/euclid.pja/1116014782
Mathematical Reviews number (MathSciNet): MR2075447
Zentralblatt MATH identifier: 02138344
Digital Object Identifier: doi:10.3792/pjaa.80.86
References
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Proceedings of the Japan Academy, Series A, Mathematical Sciences
