On integral similitude matrices
Colloquium Mathematicae (2009)
- Volume: 115, Issue: 1, page 1-12
- ISSN: 0010-1354
Access Full Article
top
Abstract
topHow to cite
topJ. Brzeziński, and T. Weibull. "On integral similitude matrices." Colloquium Mathematicae 115.1 (2009): 1-12. <http://eudml.org/doc/283646>.
@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 -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.