On quasi-reduced quadratic forms期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On quasi-reduced quadratic forms

Authors:

Affiliation:

1. Eugène Dubois, UMR 6138, CNRS, Dép. de mathématiques et mécanique, U. de Caen Basse-Normandie, BP 5186, 14032, Caen, France
2. Claude Levesque, CICMA et Département de mathématiques et de statistique, U. Laval, Québec, P. Québec, Canada, G1K 7P4

Abstract:

With the help of continued fractions, we plan to list all the elements of the set

_boxclose = aX^2 + bXY + cY^2 :a,b,c ,b^2 - 4ac = with0 b	#xA; mathcal{Q}_Delta = { aX^2 + bXY + cY^2 :a,b,c in mathbb{Z},b^2 - 4ac = Delta with0 leqslant b < sqrt Delta }

Keywords:	Quadratic forms reduced forms equivalence of forms class numbers quadratic fields continued fractions
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