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Mahler Measure and Modular Elliptic Surfaces

Published in: Quaestiones Mathematicae
Volume 33 , issue 2, 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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Mahler Measure and Modular Elliptic Surfaces

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