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On the Choi-Lam analogue of Hilbert's 1888 theorem for Symmetric Forms

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GOEL, Charu, Salma KUHLMANN, Bruce REZNICK, 2015. On the Choi-Lam analogue of Hilbert's 1888 theorem for Symmetric Forms. In: Linear Algebra and its Applications. ISSN 0024-3795. eISSN 1873-1856

@article{Goel2015ChoiL-32537.1, title={On the Choi-Lam analogue of Hilbert's 1888 theorem for Symmetric Forms}, year={2015}, issn={0024-3795}, journal={Linear Algebra and its Applications}, author={Goel, Charu and Kuhlmann, Salma and Reznick, Bruce}, note={The previous submission has been improved and split into two papers. The first one being the present version and the second one called "The analogue of Hilbert's 1888 theorem for Even Symmetric Forms" in which we completed our conjecture, namely, an even symmetric n-ary 2d-ic psd form is sos if and only if n=2 or d=1 or (n,2d)=(3,8) or (n,2d)=(n,4) for n greater than or equal to 3.} }

 

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