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On integral similitude matrices

Juliusz Brzezinski (Institutionen för matematiska vetenskaper) ; Thomas Weibull (Institutionen för matematiska vetenskaper)
Colloquium Mathematicum (0010-1354). Vol. 115 (2009), 1, p. 1-12.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Similitude matrix, congruent number, cuboid number, elliptic curve.



Denna post skapades 2009-12-09.
CPL Pubid: 103158

 

Institutioner (Chalmers)

Institutionen för matematiska vetenskaperInstitutionen för matematiska vetenskaper (GU)

Ämnesområden

Algebra och geometri

Chalmers infrastruktur