1 citations · 3 across the 7 of their papers we have counts for
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An upper bound of the number of distinct powers in binary words
Shuo Li
A power is a word of the form , where is a word and is a positive integer and a square is a word of the form . Fraenkel and Sim…
A note on the maximum number of -powers in a finite word
Shuo Li, Jakub Pachocki, Jakub Radoszewski
A \emph{power} is a word of the form , where is a word and is a positive integer; the power is also called a {\em -power} and $k…
On the number of squares in a finite word
Srečko Brlek, Shuo Li
A {\em square} is a word of the form . In this paper we prove that for a given finite word , the number of distinct square factors of is bounded by $|w|-|\Alphabet(w)|+1…
On the number of -powers in a finite word
Shuo Li
This note is an attempt to attack a conjecture of Fraenkel and Simpson stated in 1998 concerning the number of distinct squares in a finite word. By counting the number of (right-)…
Palindromic length sequence of the ruler sequence and of the period-doubling sequence
Shuo Li
In this article, we study the palindromic length sequences of the ruler sequence and of the period-doubling sequence. We give a precise formula of the palindromic length sequence o…
-Thue-Morse sequences and infinite products
Shuo Li
In this article we introduce a new approach to compute infinite products defined by automatic sequences involving the Thue-Morse sequence. As examples, for any positive integers $q…