2 papers
math.NT2026
Parry condition, existence and uniqueness of alternate bases
Émilie Charlier, Savinien Kreczman, Zuzana Masáková +1
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
Computing Expansions in Infinitely Many Cantor Real Bases via a Single Transducer
Émilie Charlier, Pierre Popoli, Michel Rigo
Representing real numbers using convenient numeration systems (integer bases, -numeration, Cantor bases, etc.) has been a longstanding mathematical challenge. This paper focuses…