Laws of inertia in higher degree binary forms

Research output: Contribution to journalArticlepeer-review

Abstract

We consider representations of real forms of even degree as a linear combination of powers of real linear forms, counting the number of positive and negative coefficients. We show that the natural generalization of Sylvester's Law of Inertia holds for binary quartics but fails for binary sextics.

Original languageEnglish (US)
Pages (from-to)815-826
Number of pages12
JournalProceedings of the American Mathematical Society
Volume138
Issue number3
DOIs
StatePublished - Mar 2010

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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