1
$\begingroup$

I am looking for three papers on the Collatz Conjecture by Charles C. Cadogan. The Annotated Bibliography II (Lagarias) lists these three as:

"Charles C. Cadogan (2000), The 3x+ 1 problem: towards a solution, Caribbean J. Math. Comput. Sci. 10 (2000), paper 2, 11pp. (MR 2005g:11032)"

"Charles C. Cadogan (2003), Trajectories in the 3x+1 problem, J. of Combinatorial Mathematics and Combinatorial Computing, 44 (2003), 177–187. (MR 2004a:11017)"

"Charles C. Cadogan (2006), A Solution to the 3x+1 Problem, Caribbean J. Math. Comp. Sci. 13 (2006), 1–11."

I have searched on google and have found nothing. Can anyone help?

$\endgroup$
1
$\begingroup$

Here two of these articles, and two others older:

Lagarias in "The 3x + 1 Problem: An Annotated Bibliography, II (2000-2009)" p.2 mentions that "The proofs claimed in […] Cadogan (2006) [… is] incomplete." An error p.7 invalidates the following and the assert of proof of the conjecture.

Note also that these several papers contain almost the same materials.

$\endgroup$
2
  • $\begingroup$ The second bibliography covering (2000-...) compiled by G. Lagarias contains a refutation of the attempted solution presented in Cadogan(2006) because of an error near eq (2.6) which makes the following derivations a non-sequitur. (It is not known to me, whether Cadogan has retracted his(2006) claimed proof, though.) (... and thank you very much to make these papers available at all!) $\endgroup$ Feb 12 '20 at 2:45
  • 1
    $\begingroup$ You right. I added that. $\endgroup$ Feb 12 '20 at 9:03
0
$\begingroup$

Apparently it is possible to request The 3x+1 problem: towards a solution to the author here: https://www.researchgate.net/publication/268028676_The_3x1_problem_towards_a_solution

EDIT: Unfortunately this mathematician died in 2015 : UWI Mourns the Passing of Renowned Mathematician, Professor Emeritus Charles Cadogan

$\endgroup$
3
  • $\begingroup$ Thanks, any idea on the other two? $\endgroup$
    – Roskiller
    Feb 7 '19 at 20:19
  • $\begingroup$ Maybe you can ask to the author itself by contacting him with the ResearchGate website. $\endgroup$ Feb 7 '19 at 20:21
  • $\begingroup$ Unfortunately this mathematician died in 2015: maths-et-physique.net/aberkane-syracuse.html $\endgroup$ Feb 9 '20 at 20:07

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.