On periodic alternate base expansions

Charlier, Emilie; Cisternino, Célia; Kreczman, Savinien

doi:10.1016/j.jnt.2023.07.008

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On periodic alternate base expansions

Charlier, Emilie; Cisternino, Célia; Kreczman, Savinien

2024 • In Journal of Number Theory, 254, p. 184-198

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https://hdl.handle.net/2268/292097

DOI
10.1016/j.jnt.2023.07.008

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Keywords :

Expansion of real numbers; Alternate base; Periodicity; Pisot number; Salem number; Spectrum

Abstract :

[en] In 1980, Klaus Schmidt investigated which real bases are such that all rational numbers have an associated periodic greedy expansion. In this work, we study analogous questions in the extended framework of alternate base representations.

Disciplines :

Mathematics

Author, co-author :

Charlier, Emilie ; Université de Liège - ULiège > Mathematics

Cisternino, Célia ; Université de Liège - ULiège > Mathematics

Kreczman, Savinien ; Université de Liège - ULiège > Faculté des Sciences > Master sc. math., à fin.

Language :

English

Title :

On periodic alternate base expansions

Publication date :

2024

Journal title :

Journal of Number Theory

ISSN :

0022-314X

eISSN :

1096-1658

Publisher :

Elsevier, Atlanta, Georgia

Volume :

254

Pages :

184-198

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 11 June 2022

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18 (3 by ULiège)

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Bibliography

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