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20152026
most citedThe analogue of Hilbert's 1888 theorem for Even Symmetric Forms

14 citations · 14 across the 7 of their papers we have counts for

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math.NT2024

Sums of squares of k-term forms

Charu Goel, Bruce Reznick

In this paper we study the cones corresponding to sums of squares of -ary -ic forms with at most terms. We show that these are strictly nested as increases, leading t…

math.AG2024

On nonnegative invariant quartics in type A

Sebastian Debus, Charu Goel, Salma Kuhlmann +1

The equivariant nonnegativity versus sums of squares question has been solved for any infinite series of essential reflection groups but type A. As a first step to a classification…

math.AG2024

A Refinement of Hilbert's 1888 Theorem: Separating Cones along the Veronese Variety

Charu Goel, Sarah Hess, Salma Kuhlmann

For , the cone of positive semi-definite (PSD) -ary -ic forms (i.e., homogeneous polynomials with real coefficients in var…