Limiting value of higher Mahler measure

作者：Biswas Arunabha^*; Monico Chris

来源：Journal of Number Theory, 2014, 143: 357-362.

DOI：10.1016/j.jnt.2014.04.015

• Mahler measure
• Higher Mahler measure

We consider the k-higher Mahler measure m(k)(P) of a Laurent polynomial P as the integral of log(k)vertical bar P vertical bar over the complex unit circle. In this paper we derive an explicit formula for the value of vertical bar m(k)(P)vertical bar/k! as k -%26gt; infinity.

• 出版日期2014-10