Abstract The aim of this paper is to prove several Mahler measure identities involving families of two-variable polynomials defining curves of arbitrary genus. As an application, we also obtain the relation between the Mahler measure of non-tempered polynomials defining elliptic curves of conductor 14 , 15 , 24 , 48 , 54 and corresponding L-values.

中文翻译：

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定义任意属的曲线的某些多项式的马勒测度的恒等式

摘要 本文的目的是证明涉及定义任意属的曲线的二变量多项式族的几个马勒测度恒等式。作为应用，我们还获得了定义导体 14、15、24、48、54 的椭圆曲线的非回火多项式的马勒测度与相应的 L 值之间的关系。