Geodesic
Higher Mahler measure of an $n$-variable family
Matilde N. Lalín 1   ; Jean-Sébastien Lechasseur 1
1 Département de Mathématiques et de Statistique Université de Montréal CP 6128, succ. Centre-ville Montreal, QC H3C 3J7, Canada
Acta Arithmetica, Tome 174 (2016) no. 1, pp. 1-30 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove formulas for the $k$-higher Mahler measure of a family of rational functions with an arbitrary number of variables. Our formulas reveal relations with multiple polylogarithms evaluated at certain roots of unity.
DOI : 10.4064/aa8111-3-2016
Keywords: prove formulas k higher mahler measure family rational functions arbitrary number variables formulas reveal relations multiple polylogarithms evaluated certain roots unity

Matilde N. Lalín  1   ; Jean-Sébastien Lechasseur  1

1 Département de Mathématiques et de Statistique Université de Montréal CP 6128, succ. Centre-ville Montreal, QC H3C 3J7, Canada 
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Matilde N. Lalín; Jean-Sébastien Lechasseur. Higher Mahler measure of an $n$-variable family. Acta Arithmetica, Tome 174 (2016) no. 1, pp. 1-30. doi: 10.4064/aa8111-3-2016

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