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Mosc. Math. J., 2006, Volume 6, Number 4, Pages 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)

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.

DOI: https://doi.org/10.17323/1609-4514-2006-6-4-589-627

Full text: http://www.ams.org/.../abst6-4-2006.html
References: PDF file   HTML file

Bibliographic databases:

MSC: 11E12, 15A63
Received: September 6, 2004
Language:

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
\Bibitem{Aic06}
\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
\mathnet{http://mi.mathnet.ru/mmj262}
\crossref{https://doi.org/10.17323/1609-4514-2006-6-4-589-627}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2291155}
\zmath{https://zbmath.org/?q=an:1186.11020}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000208596000001}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Proc. Steklov Inst. Math., 258 (2007), 23–43  mathnet  crossref  mathscinet  zmath  elib  elib
    2. Earnest A.G., Fitzgerald R.W., “Multiplicative Properties of Integral Binary Quadratic Forms”, Quadratic Forms - Algebra, Arithmetic, and Geometry, Contemporary Mathematics, 493, 2009, 107–115  crossref  mathscinet  zmath  isi
  • Moscow Mathematical Journal
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