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arxiv: math/0501153 · v1 · submitted 2005-01-11 · 🧮 math.NT · math.AG

Mesure de Mahler d'hypersurfaces K3

classification 🧮 math.NT math.AG
keywords hypersurfacesmahlermeasurenumberpicarddefiningeisenstein-kroneckerexpress
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We express the logarithmic Mahler measure of two families of polynomials defining K3 hypersurfaces of generic Picard number 19 in terms of Eisenstein-Kronecker series. For some singular K3 surfaces (i.e of Picard number 20) we write this measure as Hecke L-series of weight 3 with "Gr\" ossencharacters".

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