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Finite-Dimensional Mahler Measure of a Polynomial and Szegö's Theorem

✍ Scribed by Jérome Dégot

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
545 KB
Volume
62
Category
Article
ISSN
0022-314X

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✦ Synopsis

This paper is concerned with the study of Mahler's measure of an univariate polynomial. A theorem of Szego says that the measure of P is equal to the infimum of &PQ& 2 where Q is a monic polynomial. Here we study how the infimum of &PQ& 2 , where Q is monic and has degree k, tends to the measure of P when k tends to infinity: this answers a question raised by Cerlienco, Mignotte and Piras [J. Symbolic Comput. 4, No. 1 (1987), 21 34].

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