Laws of inertia in higher degree binary forms

Author:
Bruce Reznick

Journal:
Proc. Amer. Math. Soc. **138** (2010), 815-826

MSC (2010):
Primary 11E76, 15A21

DOI:
https://doi.org/10.1090/S0002-9939-09-10186-7

Published electronically:
November 3, 2009

MathSciNet review:
2566547

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Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

**Bruce Reznick**

Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801

Email:
reznick@math.uiuc.edu

DOI:
https://doi.org/10.1090/S0002-9939-09-10186-7

Received by editor(s):
June 30, 2009

Published electronically:
November 3, 2009

Communicated by:
Ken Ono

Article copyright:
© Copyright 2009
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.