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Comments on some results about Pisot numbers

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Publication:628846
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DOI10.5802/jtnb.729zbMath1223.11130OpenAlexW2058783939MaRDI QIDQ628846

Toufik Zaimi

Publication date: 7 March 2011

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/116417


zbMATH Keywords

Pisot numbers


Mathematics Subject Classification ID

PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)


Related Items (3)

On the distribution of certain Pisot numbers ⋮ Comments on the height reducing property. II ⋮ Complex Pisot numbers in algebraic number fields



Cites Work

  • On an approximation property of Pisot numbers. II
  • Developments in non-integer bases
  • On a property of Pisot numbers and related questions
  • \(\varepsilon\)-Pisot numbers in any real algebraic number field are relatively dense.
  • Meyer's concept of quasicrystal and quasiregular sets
  • Characterization of the unique expansions $1=\sum^{\infty}_{i=1}q^{-n_ i}$ and related problems
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