On efficient computation of the 2-parts of ideal class groups of quadratic fields
Basilla, Julius M. ; Wada, Hideo
Proc. Japan Acad. Ser. A Math. Sci., Tome 80 (2004) no. 6, p. 191-193 / Harvested from Project Euclid
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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.
Publié le : 2004-12-14
Classification:  Ternary quadrartic form,  quadratic field,  ideal class group,  2-part,  11E20,  11R29,  11R11,  11Y16 
@article{1116442504,
     author = {Basilla, Julius M. and Wada, Hideo},
     title = {On efficient computation of the 2-parts of ideal class groups of quadratic fields},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {80},
     number = {6},
     year = {2004},
     pages = { 191-193},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1116442504}
}

Basilla, Julius M.; Wada, Hideo. On efficient computation of the 2-parts of ideal class groups of quadratic fields. Proc. Japan Acad. Ser. A Math. Sci., Tome 80 (2004) no. 6, pp.  191-193. http://gdmltest.u-ga.fr/item/1116442504/