Abelian Quadratic Forms
K. G. Ramanathan · Canadian Journal of Mathematics · 1952
Hermite [4] in the course of his investigations on the transformation theory of abelian functions, introduced the notion of abelian quadratic forms. They are quadratic forms whose matrices of orders 2n, satisfy where k ≠ 0 is a real number, and is the unit matrix of order n. Laguerre [7] and, more systematically, Cotty [3] developed an arithmetical theory of abelian forms in four variables.