A generalisation of Artin's conjecture for primitive roots
Some Borel measures associated with the generalized Collatz mapping
This paper is a continuation of a recent paper [2], in which the authors studied some Markov matrices arising from a mapping T:ℤ → ℤ, which generalizes the famous 3x+1 mapping of Collatz. We extended T to a mapping of the polyadic numbers and construct finitely many ergodic Borel measures on which heuristically explain the limiting frequencies in congruence classes, observed for integer trajectories.
On some Markov matrices arising from the generalized Collatz mapping
A generalization of Hasse's generalization of the Syracuse algorithm
A Markov approach to the generalized Syracuse algorithm
Minimal multipliers for consecutive Fibonacci numbers
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