Perpetuant Syzygies of the n -th Kind
H. T. H. Piaggio · Proceedings of the London Mathematical Society · 1910
The most important of these are to be found in Math.Annalen, Bd. xxxvi.In what follows, whenever Hilbert is mentioned the reference is to this paper.t Defined further on.J Examples for a rational integral function of n variables have been given by Hilbert himself and by Schonflies (Gott.Nach., 1891).* A covariant only differs from an invariant in that it contains the variables as well as the coefficients.We shall use the term concomitant to include these as well as other functions (e.g., "mixed concomitants ") having the invariantive property.•f Which is really equivalent to Cayley'a hyperdeterminants.X GGtt.Nach., 1S91 and 1892.* The simplest example (due to Cayley) is that for the binary cubic.See Elliott's Algebra of Quantics, p. 110.* See Lemma I. t See Lemma III.* In the following, the a's, #'s, 7's and 8's are numerical constants.