Year: 2016
Type: preprint
Abstract: In this paper, we discuss the well known 3x+1 conjecture in form of the accelerated Collatz function T defined on the positive odd integers. We present a sequence of quotient spaces and an invertible map that are intrinsically related to the behavior of T. This approach allows to express the 3x+1 conjecture in form of equivalent problems, which might be more accessible than the original conjecture.
Source: arXiv (Cornell University)
Author: Hellekalek, Peter
Institution: University of Salzburg
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Austrian Science Fund
Awards: G1802642738, G754310147
OpenAlex ID: W2369024083