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On the β-Expansion of an Algebraic Number in an Algebraic Base β
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Yann Bugeaud
Published/Copyright:
August 20, 2009
Abstract
Let α in (0, 1] and β > 1 be algebraic numbers. We study the asymptotic behaviour of the function that counts the number of digit changes in the β-expansion of α.
Keywords.: β-expansion; transcendence
Received: 2008-07-01
Accepted: 2009-01-26
Published Online: 2009-08-20
Published in Print: 2009-August
© de Gruyter 2009
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- Symmetric CNS Trinomials
- On the β-Expansion of an Algebraic Number in an Algebraic Base β
- A Planar Integral Self-Affine Tile with Cantor Set Intersections with Its Neighbors
- Beta-Expansions with Negative Bases
- Convergence in Möbius Number Systems
- Factor Complexity of Infinite Words Associated with Non-Simple Parry Numbers
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Articles in the same Issue
- Preface
- Symmetric CNS Trinomials
- On the β-Expansion of an Algebraic Number in an Algebraic Base β
- A Planar Integral Self-Affine Tile with Cantor Set Intersections with Its Neighbors
- Beta-Expansions with Negative Bases
- Convergence in Möbius Number Systems
- Factor Complexity of Infinite Words Associated with Non-Simple Parry Numbers
- On the Boundary of the Set of the Closure of Contractive Polynomials
- Christoffel Words and Markoff Triples
- Characterizations of Words with Many Periods
