Mahler Measure and Modular Elliptic Surfaces

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Mahler Measure and Modular Elliptic Surfaces

Published in: Quaestiones Mathematicae
Volume 33 , issue 2 , 2010 , pages: 231–243
DOI: 10.2989/16073606.2010.491190
Author(s): Leila Benferhat , Algerie
Keywords: Mahler measure , modular elliptic surfaces
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Abstract

In this paper we prove a formula for the Mahler measure of as the integral of the classical elliptic period function K. By analysing the associated elliptic surfaces we also prove the identity between Mahler measures
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