4 papers
math.CO2026
On the Number of Rational Power Factors in a Finite Word
Shuo Li, Yuan Song
Let be a finite word of length . In this paper, we study the maximum possible number of distinct rational power factors in a finite word. A rational power is a word of the f…
math.CO2026
A Tighter Upper Bound for the Number of Distinct Squares in Circular Words
Shuo Li, Yuan Song
A \emph{square} is a word of the form , where is a nonempty finite word. Given a finite word of length , let denote the corresponding \emph{circular word}, i.e…
cs.DM2024
On the Orthogonality of Generalized Pattern Sequences
Shuo Li
The partial sums of integer sequences that count the occurrences of a specific pattern in the binary expansion of positive integers have been investigated by different authors sinc…
math.CO2024
Letter frequency vs factor frequency in pure morphic words
Shuo Li
We prove that, for any pure morphic word , if the frequencies of all letters in exist, then the frequencies of all factors in exist as well. This result answers a questi…