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arxiv: 0803.0413 · v1 · submitted 2008-03-04 · 🧮 math.NT · math.AG

The Mahler measure and the L-series of a singular K3-surface

classification 🧮 math.NT math.AG
keywords k3-surfacemahlermeasurel-seriessingulardefiningexampleexpressed
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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 and the L-series of the K3-surface.

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