Functiones et Approximatio Commentarii Mathematici

Jackson q-Mahler measures

Miki Hirano and Nobushige Kurokawa
Source: Funct. Approx. Comment. Math. Volume 42, Number 1 (2010), 51-58.

Abstract

In this note, we define a $q$-analogue of the Mahler measures by using the Jackson integral which we call the Jackson $q$-Mahler measures. Especially we study their classical limit for polynomials of one variable.

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Primary Subjects: 11M06
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.facm/1269437068
Zentralblatt MATH identifier: 05693242
Mathematical Reviews number (MathSciNet): MR2640769
Digital Object Identifier: doi:10.7169/facm/1269437068


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Functiones et Approximatio Commentarii Mathematici

Functiones et Approximatio Commentarii Mathematici