A remark about factorizing GCD-type Hyperdeterminants

Jean-Gabriel Luque (1)

1 LIGM - Laboratoire d'Informatique Gaspard-Monge

We show that a very elementary trick allows to generalize a theorem of Linström to higher determinants. As a special case, one recovers some results due to Lehmer and Haukkannen on hyperdeterminants of GCD matrices.

Domaines: Combinatoire [math.CO]; Algèbre commutative [math.AC]; Mathématiques générales [math.GM]

Jean-Gabriel Luque. A remark about factorizing GCD-type Hyperdeterminants. 2006. ⟨hal-00085204v1⟩