Open Access
September 2007 On the reduced length of a polynomial with real coefficients, II
Andrzej Schinzel
Funct. Approx. Comment. Math. 37(2): 445-459 (September 2007). DOI: 10.7169/facm/1229619664

Abstract

The length $L(P)$ of a polynomial $P$ is the sum of the absolute values of the coefficients. For $P\in\mathbb{R}[x]$ the properties of $l(P)$ are studied, where $l(P)$ is the infimum of $L(PG)$ for $G$ running through monic polynomials over $\mathbb{R}$.

Citation

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Andrzej Schinzel. "On the reduced length of a polynomial with real coefficients, II." Funct. Approx. Comment. Math. 37 (2) 445 - 459, September 2007. https://doi.org/10.7169/facm/1229619664

Information

Published: September 2007
First available in Project Euclid: 18 December 2008

zbMATH: 1211.12003
MathSciNet: MR2363837
Digital Object Identifier: 10.7169/facm/1229619664

Subjects:
Primary: 12D99
Secondary: 26C99

Keywords: length of a polynomial , unit circle

Rights: Copyright © 2007 Adam Mickiewicz University

Vol.37 • No. 2 • September 2007
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