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math.NT2025
On finite -expansions for the set of natural numbers
Túlio O. Carvalho, Catharina M. Moreira
We present a study of the problem of finiteness of the -expansions for the set of natural numbers, condition in brief, for three families of Pisot numbers for which the $β…
math.NT2020
Study of the transcendence of a family of generalized continued fractions
Túlio O. Carvalho
We study a family of generalized continued fractions, which are defined by a pair of substitution sequences in a finite alphabet. We prove that they are stammering sequences, in th…