Mahler measure and the WZ algorithm
Number Theory
2013-05-09 v2
Abstract
We use the Wilf-Zeilberger method to prove identities between Mahler measures of polynomials. In particular, we offer a new proof of a formula due to Lal\'{i}n, and we show how to translate the identity into a formula involving elliptic dilogarithms. This work settles a challenge problem proposed by Kontsevich and Zagier in their paper "Periods".
Cite
@article{arxiv.1006.1654,
title = {Mahler measure and the WZ algorithm},
author = {Jesús Guillera and Mathew Rogers},
journal= {arXiv preprint arXiv:1006.1654},
year = {2013}
}
Comments
15 pages