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math.CO2016
Combinatorial proof of the transcendence of
Yining Hu
We give a combinatorial proof of the transcendence of , where (resp. ) is the analogue in characteristic of the function of Dirichlet (resp. ).…
math.CO2016
Subword Complexity and (non)-automaticity of certain completely multiplicative functions
Yining Hu
In this article, we prove that for a completely multiplicative function from to a field such that the set $$\{p \;|\; f(p)\neq 1_K \;\mbox{and }p \mbox{ is p…