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math.NT2019
Generalized 3x+1 Mappings : convergence and divergence
Robert Tremblay
Discussion about the convergence and divergence of trajectories generated by certain functions derived from generalized 3x+1 mappings
math.NT2019
Generalized 3x + 1 Mappings : counting cycles
Robert Tremblay
We demonstrate that the number of cycles for two problems of the family of generalized 3x+1 mappings is possible finite.
math.NT2019
Generalized 3x + 1 Mappings : searching for cycles
Robert Tremblay
We determine the conditions for the existence or not of cycles for several families of generalized 3x + 1 mappings and develop a method to find them.