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[unknown]

Е.П. Голубева, О.М. Фоменко (1976)

Zapiski naucnych seminarov Leningradskogo

[unknown]

Ariel Shnidman (0)

Annales de l’institut Fourier

[unknown]

Dihua Jiang, Baiying Liu (0)

Annales de l’institut Fourier

[unknown]

Konstantinos Kourliouros (0)

Annales de l’institut Fourier

[unknown]

Davide Lombardo (0)

Annales de l’institut Fourier

[unknown]

Rob de Jeu, Tejaswi Navilarekallu (0)

Annales de l’institut Fourier

[unknown]

Christophe Breuil (0)

Annales de l’institut Fourier

[unknown]

Kenichi Bannai, Shinichi Kobayashi (0)

Annales de l’institut Fourier

β -shift, systèmes de numération et automates

Nathalie Loraud (1995)

Journal de théorie des nombres de Bordeaux

In this note we prove that the language of a numeration system is the language of a β -shift under some assumptions on the basis. We deduce from this result a partial answer to the question when the language of a numeration system is regular. Moreover, we give a characterization of the arithmetico-geometric sequences and the mixed radix sequences that are basis of a numeration system for which the language is regular. Finally, we study the Ostrowski systems of numeration and give another proof of...

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