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- W3121566293 abstract "The Collatz problem with $3x+k$ is revisited. Positive and negative limit cycles are given up to k=9997 starting with $x_0=-2cdot10^7...+2cdot10^7$. A simple relation between the probability distribution for the Syracuse iterates for various k (not divisible by 2 and 3) is obtained. From this it follows that the oscillation considered by Tao 2019 ( arXiv:1909.03562v2 ) does not depend on k. Thus this piece of the proof of his theorem 1.3 Almost all Collatz orbits attain almost bounded values holds for all k not divisible by 2 and 3." @default.
- W3121566293 created "2021-02-01" @default.
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- W3121566293 date "2021-01-20" @default.
- W3121566293 modified "2023-09-27" @default.
- W3121566293 title "The Collatz Problem generalized to 3x+k" @default.
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