Mahler measure and the WZ algorithm

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 Lalín, 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".

15 pages

Cited by in corpus (1)

• On the Mahler measure of $1+X+1/X+Y+1/Y$