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math.NT2025
A Normality Conjecture on Rational Base Number Systems
Mélodie Andrieu, Shalom Eliahou, Léo Vivion
The rational base number system, introduced by Akiyama, Frougny, and Sakarovitch in 2008, is a generalization of the classical integer base number system. Within this framework two…
math.NT2025
The number system in rational base and the problem
Shalom Eliahou, Jean-Louis Verger-Gaugry
The representation of numbers in rational base was introduced in 2008 by Akiyama, Frougny & Sakarovitch, with a special focus on the case . Unnoticed since then, nat…