A Mahler Measure of a K3 Surface Expressed as a Dirichlet L-Series

作者：Bertin Marie Jose^*

来源：Canadian Mathematical Bulletin, 2012, 55(1): 26-37.

DOI：10.4153/CMB-2011-067-0

• modular Mahler measure
• Eisenstein-Kronecker series
• L-series of K3-surfaces
• l-adic representations
• Livne criterion
• Rankin-Cohen brackets

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.

• 出版日期2012-3