An algebraic integration for Mahler measure

Lalín, Matilde N.

Duke Math. J., Tome 136 (2007) no. 1, p. 391-422 / Harvested from Project Euclid

Résumé

There are many examples of several variable polynomials whose Mahler measure is expressed in terms of special values of polylogarithms. These examples are expected to be related to computations of regulators, as observed by Deninger [D] and, later, by Rodriguez-Villegas [R] and Maillot [M]. While Rodriguez-Villegas made this relationship explicit for the two-variable case, it is our goal to understand the three-variable case and shed some light on the examples with more variables

Publié le : 2007-06-15
Classification: 11G55, 19F99

@article{1182180652,
     author = {Lal\'\i n, Matilde N.},
     title = {An algebraic integration for Mahler measure},
     journal = {Duke Math. J.},
     volume = {136},
     number = {1},
     year = {2007},
     pages = { 391-422},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1182180652}
}

Lalín, Matilde N. An algebraic integration for Mahler measure. Duke Math. J., Tome 136 (2007) no. 1, pp.  391-422. http://gdmltest.u-ga.fr/item/1182180652/