3 papers
math.CO2019
Sum-free sets generated by the period-k-folding sequences and some Sturmian sequences
Jean-Paul Allouche, Jeffrey Shallit, Zhixiong Wen +2
First, we show that the sum-free set generated by the period-doubling sequence is not -regular for any . Next, we introduce a generalization of the period-doubling sequ…
cs.FL2016
Morphisms on infinite alphabets, countable states automata and regular sequences
Jie-Meng Zhang, Jin Chen, Yingjun Guo +1
In this paper, we prove that a class of regular sequences can be viewed as projections of fixed points of uniform morphisms on a countable alphabet, and also can be generated by co…
math.NT2016
On the rational approximations to the real numbers corresponding to the differences of the Fibonacci sequence
Ying-jun Guo, Zhi-xiong Wen, Jie-meng Zhang
Based on the structure of Fibonacci sequence, we give a new proof for the irrationality exponents of the Fibonacci real numbers. Moreover, we obtain all the irrationality exponents…