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

2008/03/04 by Bertin, Marie José
#11 #14D #14J #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.0803.0413

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.

Related

• Mahler measure of some singular K3-surfaces
• A Mahler measure of a K3-hypersurface expressed as a Dirichlet L-series
• Mesure de Mahler d'hypersurfaces K3
• The Mahler measure of exact polynomials and special L-values of K3 surfaces
• CM points, class numbers, and the Mahler measures of x³+y³+1-kxy