A Mahler measure of a K3-hypersurface expressed as a Dirichlet L-series

2009/01/06 by Marie José Bertin, Marie Jose Bertin, Bertin, Marie Jose
Mathematics · #11 #14D #14J #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #math.AG #math.NT #msc:11 #msc:14D #msc:14J

paper · pdf · doi:10.48550/arxiv.0901.0619

12 pages

arxiv created 2009/01/06 · openalex publication_date 2009/01/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present another example of a 3-variable polynomial defining a K3-hypersurface and having a logarithmic Mahler measure expressed in terms of a Dirichlet L-series.

Related

• Mesure de Mahler d'hypersurfaces K3
• The Mahler measure and the L-series of a singular K3-surface
• Mahler measure of some singular K3-surfaces
• The Mahler measure of exact polynomials and special L-values of K3 surfaces
• Mahler measures, K-theory and values of L-functions