A Mahler Measure of a K3 Surface Expressed as a Dirichlet L-Series
Canadian mathematical bulletin, Tome 55 (2012) no. 1, pp. 26-37
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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.
Mots-clés :
11, 14D, 14J, modular Mahler measure, Eisenstein–Kronecker series, L-series of K3-surfaces, l-adic representations, Livné criterion, Rankin–Cohen brackets
Bertin, Marie José. A Mahler Measure of a K3 Surface Expressed as a Dirichlet L-Series. Canadian mathematical bulletin, Tome 55 (2012) no. 1, pp. 26-37. doi: 10.4153/CMB-2011-067-0
@article{10_4153_CMB_2011_067_0,
author = {Bertin, Marie Jos\'e},
title = {A {Mahler} {Measure} of a {K3} {Surface} {Expressed} as a {Dirichlet} {L-Series}},
journal = {Canadian mathematical bulletin},
pages = {26--37},
year = {2012},
volume = {55},
number = {1},
doi = {10.4153/CMB-2011-067-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-067-0/}
}
TY - JOUR AU - Bertin, Marie José TI - A Mahler Measure of a K3 Surface Expressed as a Dirichlet L-Series JO - Canadian mathematical bulletin PY - 2012 SP - 26 EP - 37 VL - 55 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-067-0/ DO - 10.4153/CMB-2011-067-0 ID - 10_4153_CMB_2011_067_0 ER -
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