Geodesic
On integral similitude matrices
J. Brzeziński1 ; T. Weibull2
1Mathematical Sciences University of Gothenburg SE-41296 Göteborg, Sweden
2Mathematical Sciences Chalmers University of Technology SE-41296 Göteborg, Sweden
Colloquium Mathematicum, Tome 115 (2009) no. 1, pp. 1-12

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study integral similitude $3 \times 3$-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.
DOI : 10.4064/cm115-1-1
Keywords: study integral similitude times matrices those positive integers which occur products their row elements matrices symmetric numbers each row turns out integers which nontrivial matrices type exist define elliptic curves nonzero rank closely related generalized cubic fermat equations

J. Brzeziński  1   ; T. Weibull  2

1 Mathematical Sciences University of Gothenburg SE-41296 Göteborg, Sweden
2 Mathematical Sciences Chalmers University of Technology SE-41296 Göteborg, Sweden 
J. Brzeziński; T. Weibull. On integral similitude matrices. Colloquium Mathematicum, Tome 115 (2009) no. 1, pp. 1-12. doi: 10.4064/cm115-1-1
@article{10_4064_cm115_1_1,
     author = {J. Brzezi\'nski and T. Weibull},
     title = {On integral similitude matrices},
     journal = {Colloquium Mathematicum},
     pages = {1--12},
     year = {2009},
     volume = {115},
     number = {1},
     doi = {10.4064/cm115-1-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm115-1-1/}
}
TY  - JOUR
AU  - J. Brzeziński
AU  - T. Weibull
TI  - On integral similitude matrices
JO  - Colloquium Mathematicum
PY  - 2009
SP  - 1
EP  - 12
VL  - 115
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm115-1-1/
DO  - 10.4064/cm115-1-1
LA  - en
ID  - 10_4064_cm115_1_1
ER  - 
%0 Journal Article
%A J. Brzeziński
%A T. Weibull
%T On integral similitude matrices
%J Colloquium Mathematicum
%D 2009
%P 1-12
%V 115
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/cm115-1-1/
%R 10.4064/cm115-1-1
%G en
%F 10_4064_cm115_1_1

Cité par Sources :