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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