This article is cited in 2 papers

On trigroups and semigroups of binary quadratic forms values and of their associated linear operators

F. Aicardi

International School for Advanced Studies (SISSA)

Abstract: Some algebraic properties of binary quadratic forms are presented, related to the fact that the product of any three values attained by a binary quadratic form with integer coefficients on the integer points of the plane is always a value attained by the same form. A sufficient condition on the form coefficients for the set of values to be a semigroup is also given.

Key words and phrases: Integer binary quadratic forms, multiplicative semigroups.

MSC: 11E12, 15A63

Received: September 6, 2004

Language: English

DOI: 10.17323/1609-4514-2006-6-4-589-627

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