%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 }