Some examples of Mahler measures as multiple polylogarithms

Abstract

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

References in corpus (2)

• Multiple polylogarithms and mixed Tate motives
• Géométrie d'Arakelov des variétés toriques et fibrés en droites intégrables

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