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Moscow Mathematical Journal, 2006, Volume 6, Number 4, Pages 589–627
DOI: https://doi.org/10.17323/1609-4514-2006-6-4-589-627
(Mi mmj262)
 

This article is cited in 2 scientific papers (total 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)
Full-text PDF Citations (2)
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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.
Received: September 6, 2004
Bibliographic databases:
MSC: 11E12, 15A63
Language: English
Citation: F. Aicardi, “On trigroups and semigroups of binary quadratic forms values and of their associated linear operators”, Mosc. Math. J., 6:4 (2006), 589–627
Citation in format AMSBIB
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\by F.~Aicardi
\paper On trigroups and semigroups of binary quadratic forms values and of their associated linear operators
\jour Mosc. Math.~J.
\yr 2006
\vol 6
\issue 4
\pages 589--627
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\crossref{https://doi.org/10.17323/1609-4514-2006-6-4-589-627}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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