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An explicit formula for the Mahler measure of the -variable Laurent polynomial is given, in terms of dilogarithms and trilogarithms.
Nous étudions les fonctions -adiques associées à des séries du typedans certains cas, où elles admettent un prolongement méromorphe à avec un nombre fini de pôles et des valeurs aux entiers négatifs algébriques. On retrouve comme cas particulier les fonctions -adiques des corps totalement réels et les fonctions -multiples -adiques.
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