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math.CO2019★ 3 cited
Palindromic length complexity and a generalization of Thue-Morse sequences
Shuo Li
The notion of palindromic length of a finite word, as well as an infinite word, was first introduced by Frid, Puzynina and Zamboni\cite{FRID2013737}. They conjectured that if the p…
math.NT2019
Automatic sequences defined by Theta functions and some infinite products
Shuo Li
Let be a rational function satisfying the condition and an integer larger than , in this article we will consider the power expansion of the infinit…
math.CO2019★ 2 cited
On completely multiplicative automatic sequences
Shuo Li
In this article we prove that all completely multiplicative automatic sequences defined on , vanishing or not, can be written in the form $a_…