On integral similitude matrices

@article{J2009,
abstract = {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.},
author = {J. Brzeziński, T. Weibull},
journal = {Colloquium Mathematicae},
keywords = {similitude matrix; congruent number; cuboid number; elliptic curve},
language = {eng},
number = {1},
pages = {1-12},
title = {On integral similitude matrices},
url = {http://eudml.org/doc/283646},
volume = {115},
year = {2009},
}

TY - JOUR
AU - J. Brzeziński
AU - T. Weibull
TI - On integral similitude matrices
JO - Colloquium Mathematicae
PY - 2009
VL - 115
IS - 1
SP - 1
EP - 12
AB - 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.
LA - eng
KW - similitude matrix; congruent number; cuboid number; elliptic curve
UR - http://eudml.org/doc/283646
ER -