Title
Lower Bounds for Sums of Powers of Low Degree Univariates.
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.
Year
DOI
Venue
2015
10.1007/978-3-662-47672-7_66
Lecture Notes in Computer Science
Keywords
Field
DocType
Arithmetic circuits,Lower bounds,Sums of powers,Wronskian,Shifted derivatives
Discrete mathematics,Combinatorics,Power sum symmetric polynomial,Polynomial,Upper and lower bounds,Wronskian,Degree of a polynomial,Omega,Sums of powers,Univariate,Mathematics
Conference
Volume
ISSN
Citations 
9134
0302-9743
5
PageRank 
References 
Authors
0.53
14
4
Name
Order
Citations
PageRank
Neeraj Kayal126319.39
Pascal Koiran2919113.85
Timothée Pecatte3162.89
Chandan Saha422716.91