Jesús Guillera, Mathew Rogers
Published 2010-06-08, updated 2013-05-08Version 2
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".
On the Mahler measure of $1+X+1/X+Y+1/Y$
Mahler measures and $L$-functions of $K3$ surfaces
On the Mahler measure of $(1+x)(1+y)+z$
![QR code for arXiv:1006.1654 [math.NT]](http://oss.arxitics.com/images/favicon.svg)