Some examples of Mahler measures as multiple polylogarithms

Mathematics – Number Theory

Scientific paper

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21 pages, 1 figure

Scientific paper

10.1016/S0022-314X(03)00101-X

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.

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