On integral similitude matrices

• Autorzy: J. Brzeziński , T. Weibull
• Języki publikacji: EN

Abstrakty

EN

We study integral similitude 3 × 3-matrices and those positive integers which occur as products of their row elements, when matrices are symmetric with the same numbers in each row. It turns out that integers for which nontrivial matrices of this type exist define elliptic curves of nonzero rank and are closely related to generalized cubic Fermat equations.

Kategorie tematyczne

• 11D25: Cubic and quartic equations
• 11G05: Elliptic curves over global fields
• 11C20: Matrices, determinants

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 115
• Numer: 1
• Strony: 1-12

Daty

wydano

2009

Twórcy

autor

J. Brzeziński

• Mathematical Sciences, University of Gothenburg, SE-41296 Göteborg, Sweden

autor

T. Weibull

• Mathematical Sciences, Chalmers University of Technology, SE-41296 Göteborg, Sweden

Identyfikatory

DOI

10.4064/cm115-1-1