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Lower Bounds for Sums of Powers of Low Degree Univariates

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
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
Depositing User: Id for Latest eprints
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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