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Publication:3837779
zbMath0919.11063MaRDI QIDQ3837779
Publication date: 16 August 1999
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PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Other number representations (11A67)
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Purely periodic 𝛽-expansions with Pisot unit base ⋮ Beta-expansion of 1 for quartic Pisot units ⋮ Dynamical directions in numeration ⋮ Fractal representation of the attractive lamination of an automorphism of the free group. ⋮ Substitutions, abstract number systems and the space filling property ⋮ Purely periodic \(\beta \)-expansions with Pisot or Salem unit base in \(\mathbb F_q((X^{-1}))\) ⋮ Periodicity ofβ-expansions for certain Pisot units ⋮ Pisot unit generators in number fields ⋮ Unnamed Item ⋮ Measure-wise disjoint Rauzy fractals with the same incidence matrix ⋮ On periodic representations in non-Pisot bases ⋮ Rational Laurent series with purely periodic \(\beta\)-expansions ⋮ Decidability Problems for Self-induced Systems Generated by a Substitution ⋮ A note on non-periodic greedy expansions in Salem base ⋮ Periodic expansion of one by Salem numbers ⋮ Purely periodic expansions in systems with negative base ⋮ Number systems with negative bases ⋮ Beta-expansions of rational numbers in quadratic Pisot bases ⋮ \(\beta\)-expansions in algebraic function fields over finite fields ⋮ Purely periodic \(\beta \)-expansions in the Pisot non-unit case ⋮ Tilings for Pisot beta numeration ⋮ Geometric study of the beta-integers for a Perron number and mathematical quasicrystals ⋮ Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions ⋮ Finiteness and periodicity of continued fractions over quadratic number fields
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