We propose two conjectures which imply the Collatz conjecture. We give a numerical evidence for the second conjecture.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm133-2-5,
author = {Sebastian Hebda},
title = {On the Collatz conjecture},
journal = {Colloquium Mathematicae},
volume = {131},
year = {2013},
pages = {189-195},
zbl = {1332.11033},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm133-2-5}
}
Sebastian Hebda. On the Collatz conjecture. Colloquium Mathematicae, Tome 131 (2013) pp. 189-195. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm133-2-5/