Kayal, Neeraj and Koiran, Pascal and Pecatte, Timothee and Saha, Chandan (2015) Lower Bounds for Sums of Powers of Low Degree Univariates. In: 42nd International Colloquium on Automata, Languages and Programming (ICALP), JUL 06-10, 2015, Kyoto, JAPAN, pp. 810-821.
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Official URL: http://dx.doi.org/10.1007/978-3-662-47672-7_66
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 Omega(root d/t) for writing an explicit univariate degree-d polynomial f(x) as a sum of powers of degree-t polynomials.
| Item Type: | Conference Proceedings |
|---|---|
| Series.: | Lecture Notes in Computer Science |
| Publisher: | SPRINGER-VERLAG BERLIN |
| Additional Information: | Copy right for this article belongs to the SPRINGER-VERLAG BERLIN, HEIDELBERGER PLATZ 3, D-14197 BERLIN, GERMANY |
| Keywords: | Arithmetic circuits; Lower bounds; Sums of powers; Wronskian; Shifted derivatives |
| Department/Centre: | Division of Electrical Sciences > Computer Science & Automation |
| Date Deposited: | 10 Dec 2015 06:12 |
| Last Modified: | 10 Dec 2015 06:12 |
| URI: | http://eprints.iisc.ac.in/id/eprint/52892 |
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