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

Published online by Cambridge University Press:  20 November 2018

Marie José Bertin
Marie José Bertin*
Affiliation:
Université Pierre et Marie Curie (Paris 6), Institut de Mathématiques, 175 rue du Chevaleret, 75013 Paris e-mail: [email protected]
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Abstract

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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.

Keywords

1114D14Jmodular Mahler measureEisenstein–Kronecker seriesL-series of K3-surfacesl-adic representationsLivné criterionRankin–Cohen brackets
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 55 , Issue 1 , 01 March 2012 , pp. 26 - 37
Copyright
Copyright © Canadian Mathematical Society 2012

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