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math.NT2024
Periodicity and pure periodicity in alternate base systems
Zuzana Masáková, Edita Pelantová
We study the Cantor real base numeration system which is a common generalization of two positional systems, namely the Cantor system with a sequence of integer bases and the Rényi…
math.NT2024
Midy's Theorem in non-integer bases and divisibility of Fibonacci numbers
Zuzana Masáková, Edita Pelantová
Fractions with prime denominator written in decimal have a curious property described by Midy's Theorem, namely that two halves of their period (if it i…
math.NT2016
On periodic representations in non-Pisot bases
Simon Baker, Zuzana Masáková, Edita Pelantová +1
We study periodic expansions in positional number systems with a base $β\in\C,\ |β|>1$, and with coefficients in a finite set of digits $\A\subset\C.$ We are interested in determin…