Open Access
Dec. 2004 On efficient computation of the 2-parts of ideal class groups of quadratic fields
Julius M. Basilla, Hideo Wada
Proc. Japan Acad. Ser. A Math. Sci. 80(10): 191-193 (Dec. 2004). DOI: 10.3792/pjaa.80.191

Abstract

We shall show a relation between Gauss' ternary quadratic form and an ideal of a quadratic field. Using this relation, we can compute rapidly the 2-part of ideal class group of a quadratic field in narrow sense and in wide sense.

Citation

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Julius M. Basilla. Hideo Wada. "On efficient computation of the 2-parts of ideal class groups of quadratic fields." Proc. Japan Acad. Ser. A Math. Sci. 80 (10) 191 - 193, Dec. 2004. https://doi.org/10.3792/pjaa.80.191

Information

Published: Dec. 2004
First available in Project Euclid: 18 May 2005

zbMATH: 1078.11063
MathSciNet: MR2112246
Digital Object Identifier: 10.3792/pjaa.80.191

Subjects:
Primary: 11E20 , 11R29
Secondary: 11R11 , 11Y16

Keywords: 2-part , ideal class group , quadratic field , Ternary quadrartic form

Rights: Copyright © 2004 The Japan Academy

Vol.80 • No. 10 • Dec. 2004
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