Let K be an algebraically closed field of characteristic p. We exhibit a counterexample
against a theorem asserted in one of our earlier papers, which claims to characterize the …

Automatic β-expansions of formal Laurent series over finite fields - ScienceDirect Skip to main
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Abstract Let P, Q∈ F q [X]∖{0} be two coprime polynomials over the finite field F q with deg⁡
P> deg⁡ Q. We represent each polynomial w over F q by w=∑ i= 0 ksi Q (PQ) i using a …

Purely periodic β-expansions with Pisot or Salem unit base in Fq((X )) Page 1 Purely periodic
β-expansions with Pisot or Salem unit base in Fq((X −1 )) S. Ben Hariz, M. Hbaib and F …

Let Fq be the finite field with q elements and β Salem series in Fq ((X− 1)). It is proved in [15]
that, in this case, all elements in Fq (X, β) have purely periodic β-expansion. We characterize …

Purely periodic $$\beta $$ -expansions with Pisot or Salem unit base in $$\mathbb {F}_q((X^{-1}))$$
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