Some examples of Mahler measures as multiple polylogarithms

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The Mahler measures of certain polynomials of up to five variables are given in terms of multiple polylogarithms. Each formula is homogeneous and its weight coincides with the number of variables of the corresponding polynomial.
21 pages, 1 figure

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Number Theory, 11C08; 11G55; 11M06

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http://salesiana.dossiersoluciones.com/handle/123456789/68276

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0308075
 http://arxiv.org/abs/math/0308075
 J. Number Theory 103 (2003), no. 1, 85--108
 doi:10.1016/S0022-314X(03)00101-X

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arXiv