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 $\mathbb{R}$.
Publié le : 2007-09-15
Classification:
length of a polynomial,
unit circle,
12D99,
26C99
@article{1229619664,
author = {Schinzel, Andrzej},
title = {On the reduced length of a polynomial with real coefficients, II},
journal = {Funct. Approx. Comment. Math.},
volume = {37},
number = {1},
year = {2007},
pages = { 445-459},
language = {en},
url = {http://dml.mathdoc.fr/item/1229619664}
}
Schinzel, Andrzej. On the reduced length of a polynomial with real coefficients, II. Funct. Approx. Comment. Math., Tome 37 (2007) no. 1, pp. 445-459. http://gdmltest.u-ga.fr/item/1229619664/