An explicit formula for the Mahler measure of the -variable Laurent polynomial is given, in terms of dilogarithms and trilogarithms.
On montre une formule explicite pour la mesure de Mahler du polynôme en termes de dilogarithmes et trilogarithmes.
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. doi: 10.5802/jtnb.382
@article{JTNB_2002__14_2_683_0,
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},
year = {2002},
publisher = {Universit\'e Bordeaux I},
volume = {14},
number = {2},
doi = {10.5802/jtnb.382},
zbl = {1071.11018},
mrnumber = {2040701},
language = {en},
url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.382/}
}
TY - JOUR AU - Chris J. Smyth TI - An explicit formula for the Mahler measure of a family of $3$-variable polynomials JO - Journal de théorie des nombres de Bordeaux PY - 2002 SP - 683 EP - 700 VL - 14 IS - 2 PB - Université Bordeaux I UR - https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.382/ DO - 10.5802/jtnb.382 LA - en ID - JTNB_2002__14_2_683_0 ER -
%0 Journal Article %A Chris J. Smyth %T An explicit formula for the Mahler measure of a family of $3$-variable polynomials %J Journal de théorie des nombres de Bordeaux %D 2002 %P 683-700 %V 14 %N 2 %I Université Bordeaux I %U https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.382/ %R 10.5802/jtnb.382 %G en %F JTNB_2002__14_2_683_0
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