Laws of inertia in higher degree binary forms

Details Laws of inertia in higher degree binary forms Laws of inertia in higher degree binary forms

2009-06-30

arxiv.org/abs/0906.5559v1

Mathematics

Number Theory

13 pages

Scientific paper

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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