Abstract
We propose a conjecture regarding homogeneous polynomials with vanishing Hessian and indicate some evidence for its validity. The conjecture is related to a question of Allan Pinkus and Bronislaw Wajnryb regarding density of certain classes of polynomials.
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The authors wish to thank the anonymous referees for their kind words and useful suggestions.
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McKinley, T., Shekhtman, B. (2017). On Polynomials with Vanishing Hessians and Some Density Problems. In: Fasshauer, G., Schumaker, L. (eds) Approximation Theory XV: San Antonio 2016. AT 2016. Springer Proceedings in Mathematics & Statistics, vol 201. Springer, Cham. https://doi.org/10.1007/978-3-319-59912-0_13
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