Laws of inertia in higher degree binary forms

Bruce Reznick

doi:10.1090/S0002-9939-09-10186-7

Laws of inertia in higher degree binary forms

Bruce Reznick

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	815-826
Number of pages	12
Journal	Proceedings of the American Mathematical Society
Volume	138
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-09-10186-7
State	Published - Mar 2010

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-09-10186-7

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Laws of inertia in higher degree binary forms

Abstract

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