Mesure de Mahler d'hypersurfaces K3

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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".
17 pages

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Number Theory, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/73814

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0501153
 http://arxiv.org/abs/math/0501153

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arXiv