Average Mahler’s measure and $L_p$ norms of Littlewood polynomials

Average Mahler’s measure and $L_p$ norms of Littlewood polynomials

Littlewood polynomials are polynomials with each of their coefficients in the set {-1,1}. We compute asymptotic formulas for the arithmetic mean values of the Mahler’s measure and the 𝐿_{𝑝} norms of Littlewood polynomials of degree 𝑛-1. We show that the arithmetic mea...

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Bibliographic Details
Main Authors: Stephen Choi, Tamás Erdélyi
Format: Article
Language:English
Published: American Mathematical Society 2014-10-01
Series:Proceedings of the American Mathematical Society, Series B
Subjects:
Mean Mahler’s measure
mean 𝐿_{𝑝} norm
unimodular polynomial
Littlewood polynomial
Mahler’s problem.
Online Access:http://www.ams.org/bproc/2014-01-10/S2330-1511-2014-00013-4/

Internet

http://www.ams.org/bproc/2014-01-10/S2330-1511-2014-00013-4/

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