Abstract: In this talk, we will first recall some well-known arithmetic and analytical properties of automatic sequences concerning the Dirichlet series and infinite products. Then we will discuss an approach to generalize these results to a larger class of sequences: the morphic sequences. The infinite Fibonacci word will be particularly considered in the talk as a typical example of non-automatic morphic words.
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01 octobre Vendredi
Shuo Li (UQAM): Arithmetic and analytical properties of morphic sequences: Dirichlet series, infinite products and beyond
01 octobre 2021, 11:00 - 01 octobre 2021, 12:00
Date : octobre 1
Heure : 11:00 am - 12:00 pm
Venue Name: PK-4323