4 papers
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…
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…
On the Recurrence Formula for Fixed Points of the Josephus Function
Yunier Bello Cruz, Roy Quintero-Contreras
In this paper, we provide a comprehensive solution to the open problem regarding the existence of a recurrence formula for computing fixed points of the Josephus function precisely…
Analytical Study and Efficient Evaluation of the Josephus Function
Yunier Bello-Cruz, Roy Quintero-Contreras
A new approach to analyzing intrinsic properties of the Josephus function, , is presented in this paper. The linear structure between extreme points of is fully re…