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

  Published:2011-04-14
 Printed: Mar 2012
  • Marie José Bertin,
    Université Pierre et Marie Curie (Paris 6), Institut de Mathématiques, 175 rue du Chevaleret, 75013 Paris
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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.
Keywords: modular Mahler measure, Eisenstein-Kronecker series, $L$-series of $K3$-surfaces, $l$-adic representations, Livné criterion, Rankin-Cohen brackets modular Mahler measure, Eisenstein-Kronecker series, $L$-series of $K3$-surfaces, $l$-adic representations, Livné criterion, Rankin-Cohen brackets
MSC Classifications: 11, 14D, 14J show english descriptions unknown classification 11
unknown classification 14D
unknown classification 14J
11 - unknown classification 11
14D - unknown classification 14D
14J - unknown classification 14J
 

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