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Lower bounds for sums of powers of low degree univariates

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2015) 9134 810-821
DOI: 10.1007/978-3-662-47672-7_66
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Abstract

We consider the problem of representing a univariate polynomial f(x) as a sum of powers of low degree polynomials. We prove a lower bound of Ω(√ d/t) for writing an explicit univariate degree-d polynomial f(x) as a sum of powers of degree-t polynomials.

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Kayal, N., Koiran, P., Pecatte, T., & Saha, C. (2015). Lower bounds for sums of powers of low degree univariates. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9134, pp. 810–821). Springer Verlag. https://doi.org/10.1007/978-3-662-47672-7_66

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