2 papers
math.GM2026
A -adic Recurrence for the Fixed Points of the Josephus Function
Yunier Bello-Cruz, Roy Quintero-Contreras
In the Josephus problem with stepsize four, the participants in a circle are eliminated one by one, every fourth person leaving, until a single survivor remains. A fixed point occu…
math.GM2026
Fixed Points of the Josephus Function via Fractional Base Expansions
Yunier Bello-Cruz, Roy Quintero-Contreras
In this paper, we investigate properties of the fixed point sequence of the Josephus function . First, we establish a connection between this sequence and the Chinese Remainde…