Identities of Mahler measures of certain polynomials defining curves of arbitrary genus
Identities of Mahler measures of certain polynomials defining curves of arbitrary genus
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DOI：
10.1016/j.jmaa.2020.124602
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发表时间：
2021-02
影响因子：
1.3
通讯作者：
Xiaoliang Wu;Hang Liu;G. Tang
中科院分区：
文献类型：
--
作者：
Xiaoliang Wu;Hang Liu;G. Tang
本文的目的是证明几个涉及二元多项式族的Mahler测度恒等式，这些二元多项式族定义任意亏格的曲线。作为应用，我们还得到了定义导体14，15，24，48，54椭圆曲线的非调和多项式的Mahler测度与相应L值之间的关系。
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.