Mesure de Mahler d'hypersurfaces K3

Details Mesure de Mahler d'hypersurfaces K3 Mesure de Mahler d'hypersurfaces K3

2005-01-11

arxiv.org/abs/math/0501153v1

Mathematics

Number Theory

17 pages

Scientific paper

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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