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math.NT2008★ 5 cited
The Mahler measure and the L-series of a singular K3-surface
Marie José Bertin
We present the first example of a polynomial defining a singular K3-surface whose Mahler measure is expressed in terms of the Mahler measure of the faces of its Newton polyhedron a…
math.NT2005★ 1 cited
Mesure de Mahler d'hypersurfaces K3
Marie José Bertin
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 sin…