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math.CO2025
The reflection complexity of sequences over finite alphabets
Jean-Paul Allouche, John M. Campbell, Shuo Li +2
In combinatorics on words, the well-studied factor complexity function $Ï_{\infw{x}}$ of a sequence $\infw{x}$ over a finite alphabet counts, for every nonnegative integer , th…
math.CO2025
Combinatorics on words and generating Dirichlet series of automatic sequences
Jean-Paul Allouche, Jeffrey Shallit, Manon Stipulanti
Generating series are crucial in enumerative combinatorics, analytic combinatorics, and combinatorics on words. Though it might seem at first view that generating Dirichlet series…