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

Abstract

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.

arXiv comment25 pages

References in corpus (1)

• Functional equations for Mahler measures of genus-one curves

Cited by in corpus (3)

• Mahler measure of some singular K3-surfaces
• A Mahler measure of a K3-hypersurface expressed as a Dirichlet L-series
• Some observations about isogenies between $K3$ surfaces