Гіпотеза Коллатца (Ukrainian Wikipedia)

Analysis of information sources in references of the Wikipedia article "Гіпотеза Коллатца" in Ukrainian language version.

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ams.org

mathscinet.ams.org

doi.org

  • Eliahou, Shalom (1993). The 3x + 1 problem: new lower bounds on nontrivial cycle lengths. Discrete Mathematics. 118 (1): 45—56. doi:10.1016/0012-365X(93)90052-U.
  • Simons, J.; de Weger, B. (2005). Theoretical and computational bounds for m-cycles of the 3n + 1 problem (PDF). Acta Arithmetica. 117 (1): 51—70. Bibcode:2005AcAri.117...51S. doi:10.4064/aa117-1-3. Архів оригіналу (PDF) за 17 травня 2017. Процитовано 2 липня 2022.
  • Simons, John L. (2005). On the nonexistence of 2-cycles for the 3x + 1 problem. Math. Comp. 74: 1565—72. Bibcode:2005MaCom..74.1565S. doi:10.1090/s0025-5718-04-01728-4. MR 2137019.
  • Barina, David (2020). Convergence verification of the Collatz problem. The Journal of Supercomputing. 77 (3): 2681—2688. doi:10.1007/s11227-020-03368-x.

harvard.edu

ui.adsabs.harvard.edu

web.archive.org

xs4all.nl

deweger.xs4all.nl