Limiting value of higher Mahler measure

We consider the k-higher Mahler measure mk(P) of a Laurent polynomial P as the integral of logk|P| over the complex unit circle. In this paper we derive an explicit formula for the value of |mk(P)|/k! as k→∞.

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Bibliographic Details
Published inJournal of number theory Vol. 143; pp. 357 - 362
Main Authors Biswas, Arunabha, Monico, Chris
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.10.2014
Subjects
Higher Mahler measure
Mahler measure
Higher Mahler measure
Mahler measure
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Summary:We consider the k-higher Mahler measure mk(P) of a Laurent polynomial P as the integral of logk|P| over the complex unit circle. In this paper we derive an explicit formula for the value of |mk(P)|/k! as k→∞.
ISSN:0022-314X
1096-1658
DOI:10.1016/j.jnt.2014.04.015