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

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

2008-03-04

arxiv.org/abs/0803.0413v1

Mathematics

Number Theory

25 pages

Scientific paper

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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