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Some examples of Mahler measures as multiple polylogarithms

Number Theory 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.math/0308075,
  title  = {Some examples of Mahler measures as multiple polylogarithms},
  author = {Matilde N. Lalin},
  journal= {arXiv preprint arXiv:math/0308075},
  year   = {2007}
}

Comments

21 pages, 1 figure