Some examples of Mahler measures as multiple polylogarithms

2003/08/08 by Matilde Laĺın, Matilde N. Lalin · 1 citation
Chemistry · Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Molecular spectroscopy and chirality #math.NT #msc:11C08 #msc:11G55 #msc:11M06

paper · pdf · doi:10.1016/s0022-314x(03)00101-x

published as J. Number Theory 103 (2003), no. 1, 85--108 · 21 pages, 1 figure

openalex publication_date 2003/08/08 · arxiv created 2003/08/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Multiple polylogarithms and mixed Tate motives

Cited by

• Hasse-Weil zeta functions of SL₂-character varieties of arithmetic two bridge link complements

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