Sylvester's Double Sums: the general case
Carlos D'Andrea, Hoon Hong, Teresa Krick, Agnes Szanto
Abstract
In 1853 Sylvester introduced a family of double sum expressions for two finite sets of indeterminates and showed that some members of the family are essentially the polynomial subresultants of the monic polynomials associated with these sets. A question naturally arises: What are the other members of the family? This paper provides a complete answer to this question. The technique that we developed to answer the question turns out to be general enough to charactise all members of the family, providing a uniform method.
Create a lesson
Related papers
On the Stable category of maximal Cohen-Macaulay modules over Gorenstein rings-II
Tony J. Puthenpurakal
Symbolic powers of the ideal ofn general points in Pn-1
Ralf Fröberg, Boris Shapiro
Density functions for filtrations of graded ideals
Suprajo Das, Hoang Le Truong
Finitistic injective dimension exceeding finitistic projective dimension for a commutative ring
Liang Chen
A criterion for determinantal presentations of numerical semigroup rings
Satoshi Murai, Kou Takahashi
Normality of ideals beyond the standard graded setting: families from numerical semigroup rings
Naoyuki Matsuoka