Numeration Systems

1967 ◽  
pp. 63-82
Keyword(s):  
Numeration Systems

An extension of the Cobham-Semënov Theorem

2000 ◽  
Vol 65 (1) ◽  
pp. 201-211 ◽  
Author(s):  
Alexis Bès
Keyword(s):  
Characteristic Polynomial ◽  
Minimal Polynomial ◽  
Pisot Numbers ◽  
Numeration Systems

AbstractLet θ, θ′ be two multiplicatively independent Pisot numbers, and letU,U′ be two linear numeration systems whose characteristic polynomial is the minimal polynomial of θ and θ′, respectively. For everyn≥ 1, ifA⊆ ℕnisU-andU′ -recognizable thenAis definable in 〈ℕ: + 〉.

scholarly journals Linear numeration systems of order two

1988 ◽  
Vol 77 (3) ◽  
pp. 233-259 ◽  
Author(s):  
Christiane Frougny
Keyword(s):  
Numeration Systems

scholarly journals Regular sequences and synchronized sequences in abstract numeration systems

2022 ◽  
Vol 101 ◽  
pp. 103475
Author(s):  
Émilie Charlier ◽  
Célia Cisternino ◽  
Manon Stipulanti
Keyword(s):  
Regular Sequences ◽  
Numeration Systems

Automatic Maps in Exotic Numeration Systems

1997 ◽  
Vol 30 (3) ◽  
pp. 285-331 ◽  
Author(s):  
J.—P. Allouche
Keyword(s):  
Numeration Systems

Greedy Numeration Systems and Regularity

1998 ◽  
Vol 31 (2) ◽  
pp. 111-133 ◽  
Author(s):  
M. Hollander
Keyword(s):  
Numeration Systems
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