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On integral similitude matrices

Juliusz Brzezinski (Institutionen för matematiska vetenskaper, matematik) ; Thomas Weibull (Institutionen för matematiska vetenskaper, matematik)
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. Senast ändrad 2017-07-03.
CPL Pubid: 103158


Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)


Algebra och geometri

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