Higher Mahler measure of an n-variable family
Matilde N. Lalín ; Jean-Sébastien Lechasseur
Acta Arithmetica, Tome 172 (2016), p. 1-30 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:286323 
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     author = {Matilde N. Lal\'\i n and Jean-S\'ebastien Lechasseur},
     title = {Higher Mahler measure of an n-variable family},
     journal = {Acta Arithmetica},
     volume = {172},
     year = {2016},
     pages = {1-30},
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     language = {en},
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Matilde N. Lalín; Jean-Sébastien Lechasseur. Higher Mahler measure of an n-variable family. Acta Arithmetica, Tome 172 (2016) pp. 1-30. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa8111-3-2016/