A generalization of the Collatz problem and conjecture

Details A generalization of the Collatz problem and conjecture A generalization of the Collatz problem and conjecture

2008-10-29

arxiv.org/abs/0810.5169v1

Mathematics

Number Theory

Scientific paper

We introduce an infinite set of integer mappings that generalize the
well-known Collatz-Ulam mapping and we conjecture that an infinite subset of
these mappings feature the remarkable property of the Collatz conjecture,
namely that they converge to unity irrespective of which positive integer is
chosen initially.

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