Mahler measure and the WZ algorithm

Guillera, Jesús; Rogers, Mathew

doi:10.1090/S0002-9939-2015-12240-X

Mahler measure and the WZ algorithm
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by Jesús Guillera and Mathew Rogers

Proc. Amer. Math. Soc. 143 (2015), 2873-2886

DOI: https://doi.org/10.1090/S0002-9939-2015-12240-X

Published electronically: March 18, 2015

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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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Mahler measure and the WZ algorithm
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Abstract: