Sylvester's double sums: the general case

• Autores: Carlos D'Andrea , Hoon Hong, Teresa Krick, Agnes Szanto
• Localización: Journal of symbolic computation, ISSN 0747-7171, Vol. 44, Nº 9, 2009, págs. 1164-1175
• Idioma: inglés
• DOI: 10.1016/j.jsc.2008.02.011
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• Resumen

  • 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 characterize all members of the family, providing a uniform method.