Mahler measure and the WZ algorithm

2010/06/08 by Jesús Guillera, Guillera, Jesús, Mathew Rogers +1
Mathematics · #19F27 #33C20 #33F10 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:19F27 #msc:33C20 #msc:33F10

paper · pdf · doi:10.48550/arxiv.1006.1654

15 pages

arxiv created 2013/05/08 · arxiv updated 2013/05/09

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".

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