An explicit formula for the Mahler measure of a family of $3$-variable polynomials
Journal de théorie des nombres de Bordeaux, Volume 14 (2002) no. 2, pp. 683-700.

An explicit formula for the Mahler measure of the $3$-variable Laurent polynomial $a+b{x}^{-1}+cy+\left(a+bx+cy\right)z$ is given, in terms of dilogarithms and trilogarithms.

On montre une formule explicite pour la mesure de Mahler du polynôme $a+b{x}^{-1}+cy+\left(a+bx+cy\right)z$ en termes de dilogarithmes et trilogarithmes.

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author = {Chris J. Smyth},
title = {An explicit formula for the {Mahler} measure of a family of $3$-variable polynomials},
journal = {Journal de th\'eorie des nombres de Bordeaux},
pages = {683--700},
publisher = {Universit\'e Bordeaux I},
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year = {2002},
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mrnumber = {2040701},
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Chris J. Smyth. An explicit formula for the Mahler measure of a family of $3$-variable polynomials. Journal de théorie des nombres de Bordeaux, Volume 14 (2002) no. 2, pp. 683-700. https://jtnb.centre-mersenne.org/item/JTNB_2002__14_2_683_0/

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