On integral similitude matrices
Journal article, 2009

We study integral similitude 3 x 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 appears 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.

cuboid number

elliptic curve.

Similitude matrix

congruent number


Juliusz Brzezinski

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Thomas Weibull

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Colloquium Mathematicum

0010-1354 (ISSN) 1730-6302 (eISSN)

Vol. 115 1 1-12

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