Highly Influential

k-higher Mahler measure (mk) is a generalization of the classical (logarithmic) Mahler measure (m), i.e., m = m1. For a Laurent polynomial P (z) ∈ C[z, z−1], the logarithmic higher Mahler measure of order k is defined as mk(P ) := ∫ 1 0 log |P (e)|dt (by Kurokawa, Laĺın, Ochiai [9] in 2008 and Akatsuka [1] in 2009). For k = 1, m1(P ) is the classical… (More)