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math.NT2026
Parry condition, existence and uniqueness of alternate bases
Ãmilie Charlier, Émilie Charlier, Savinien Kreczman +4
Alternate bases are a numeration system that generalizes the Rényi numeration system. It is common in this context to construct examples or counter-examples by specifying the expan…
math.NT2025
Numeration systems without a dominant root and regularity
Ãmilie Charlier, Savinien Kreczman
Positional numeration systems are a large family of numeration systems used to represent natural numbers. Whether the set of all representations forms a regular language or not is…