Sylvester's Double Sums: the general case
Commutative Algebra
2008-03-27 v4 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.math/0701721,
title = {Sylvester's Double Sums: the general case},
author = {Carlos D'Andrea and Hoon Hong and Teresa Krick and Agnes Szanto},
journal= {arXiv preprint arXiv:math/0701721},
year = {2008}
}
Comments
16 pages, uses academic.cls and yjsco.sty. Revised version accepted for publication in the special issue of the Journal of Symbolic Computation on the occasion of the MEGA 2007 Conference