RECURRENCES OF SEQUENCES OF THE COLLATZ CONJECTURE AND THE ONLY FIVE FORMS OF NUMBERS THAT SATISFY THIS CONJECTURE
Collatz conjecture, Syracuse, sequence, process, recurrence, even, odd, expression, natural numbers, solution
Received: June 15, 2024; Revised: August 7, 2024; Accepted: August 13, 2024; Published: September 2, 2024
How to cite this article: Akram Louiz, Recurrences of sequences of the Collatz conjecture and the only five forms of numbers that satisfy this conjecture, Universal Journal of Mathematics and Mathematical Sciences 20(2) (2024), 143-152. https://doi.org/10.17654/2277141724008
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References:[1] Akram Louiz, A discussion of rationality and continuity related to Theta Functions by using the summation of Poisson, Asia Mathematika 7 (2023), 62-71. hal-04442443. https://doi.org/10.5281/zenodo.10609879.[2] Akram Louiz. Mathematics letter: a runner cheating thanks to Riemann. Maghrebian Journal of Pure and Applied Science 9(1) (2023) hal-04590090. https://doi.org/10.48383/IMIST.PRSM/mjpas-v9i1.38601. [3] Akram Louiz, A thesis about Newtonian mechanics rotations and about differential operators, Maghrebian Journal of Pure and Applied Science 6 (2020). hal-04379061. https://doi.org/10.48383/IMIST.PRSM/mjpas-v6i1.20388. [4] Akram louiz, The study of cases of fixed points of a complex function depending on the inputs of this function. https://doi.org/10.21203/rs.3.rs-2520944/v4.[5] Akram Louiz, A new equation of four infinite series and sums by using a generalized recurrence relation. https://doi.org/10.21203/rs.3.rs-2378268/v6.[6] Ş. Andrei and C. Masalagiu, About the Collatz conjecture, Acta Inform. 35 (1998), 167-179.[7] Wei Ren, A new approach on proving Collatz conjecture, Journal of Mathematics, 2019. https://doi.org/10.1155/2019/6129836.[8] A. Louiz, The new sequence and the parity in Collatz conjecture, 2024.http://dx.doi.org/10.13140/RG.2.2.30495.53926.[9] A. Louiz, The only five expressions of numbers which respect the Collatz conjecture, 2024. http://dx.doi.org/10.13140/RG.2.2.21441.74085.
