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Mahler Measure and Modular Elliptic Surfaces

✍ Scribed by Benferhat, Leila


Book ID
118140721
Publisher
Taylor and Francis Group
Year
2010
Tongue
English
Weight
198 KB
Volume
33
Category
Article
ISSN
1607-3606

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The goal of this paper is to investigate the crystalline properties of families of elliptic curves or, more precisely, to study the families of crystals (elliptic crystals) attached to families of elliptic curves. Elliptic crystals over a point can be defined and classified very simply in terms of

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✍ Matilde N. LalΓ­n πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 361 KB

In this work we apply the techniques that were developed in [M.N. LalΓ­n, An algebraic integration for Mahler measure, Duke Math. J. 138 (2007), in press] in order to study several examples of multivariable polynomials whose Mahler measure is expressed in terms of special values of the Riemann zeta f