https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:20778 0 such that ∣f(n)∣ > c log n infinitely often. We end our paper by answering a question of Borwein, Choi and Coons on the sums of completely multiplicative automatic functions.]]> Sat 24 Mar 2018 08:06:02 AEDT ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:23925 A be a finite set of d x d matrices with integer entries and let m_n(Α) be the maximum norm of a product of n elements of A. In this paper, we classify gaps in the growth m_n(Α); specifically, we prove that lim_n→∞log m_n(A)/log n ∈ℤ≥₀⋃{∞}. This has applications to the growth of regular sequences as defined by Allouche and Shallit.]]> Sat 24 Mar 2018 07:10:14 AEDT ]]>