D. Barina. (2018)cite arxiv:1807.00908Comment: 7 pages, a4paper, abstract and references extended.
Zusammenfassung
We show an iterated function of which iterates oscillate wildly and grow at a
dizzying pace. We conjecture that the orbit of arbitrary positive integer
always returns to 1, as in the case of Collatz function. The conjecture is
supported by a heuristic argument and computational results.
%0 Generic
%1 barina20187xpm1
%A Barina, David
%D 2018
%K 2018 arxiv mathematics number-theory paper
%T 7x±1: Close Relative of Collatz Problem
%U http://arxiv.org/abs/1807.00908
%X We show an iterated function of which iterates oscillate wildly and grow at a
dizzying pace. We conjecture that the orbit of arbitrary positive integer
always returns to 1, as in the case of Collatz function. The conjecture is
supported by a heuristic argument and computational results.
@misc{barina20187xpm1,
abstract = {We show an iterated function of which iterates oscillate wildly and grow at a
dizzying pace. We conjecture that the orbit of arbitrary positive integer
always returns to 1, as in the case of Collatz function. The conjecture is
supported by a heuristic argument and computational results.},
added-at = {2018-07-30T14:19:22.000+0200},
author = {Barina, David},
biburl = {https://www.bibsonomy.org/bibtex/28be133b4a373825cc51698cde8207764/analyst},
description = {7x±1: Close Relative of Collatz Problem},
interhash = {e4e4517049fd4442d5a4e97af28fedfb},
intrahash = {8be133b4a373825cc51698cde8207764},
keywords = {2018 arxiv mathematics number-theory paper},
note = {cite arxiv:1807.00908Comment: 7 pages, a4paper, abstract and references extended},
timestamp = {2018-07-30T14:19:22.000+0200},
title = {7x±1: Close Relative of Collatz Problem},
url = {http://arxiv.org/abs/1807.00908},
year = 2018
}