Εικασία του Κόλατζ (Greek Wikipedia)

Analysis of information sources in references of the Wikipedia article "Εικασία του Κόλατζ" in Greek language version.

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Garner, Lynn E. «On The Collatz 3n + 1 Algorithm» (PDF). Ανακτήθηκε στις 27 Μαρτίου 2015.
Krasikov, Ilia; Lagarias, Jeffrey C. (2003). «Bounds for the 3x + 1 problem using difference inequalities» (στα αγγλικά). Acta Arithmetica 109 (3): 237–258. doi:10.4064/aa109-3-4.
MR 1980260
.

archive.org

Pickover, Clifford A. (2001). Wonders of Numbers. Oxford: Oxford University Press. σελίδες 116–118. ISBN 0-19-513342-0.
Hofstadter, Douglas R. (1979). Gödel, Escher, Bach. New York: Basic Books. σελίδες 400–402. ISBN 0-465-02685-0.
Friendly, Michael (1988). Advanced Logo: A Language for Learning (στα Αγγλικά). Hillsdale, New Jersey, USA: Lawrence Erlbaum Associates. ISBN 0-89859-933-4.
Guy, Richard K. (2004). Unsolved problems in number theory (στα Αγγλικά) (3rd έκδοση). Springer-Verlag. "E17: Permutation Sequences". ISBN 0-387-20860-7. Zbl 1058.11001. Cf pp. 336–337.
Lagarias, Jeffrey C., επιμ. (2010). The Ultimate Challenge: the 3x+1 problem (στα Αγγλικά). American Mathematical Society. ISBN 978-0-8218-4940-8. Zbl 1253.11003.

books.google.com

Guy, Richard K. (2004). Unsolved problems in number theory (στα Αγγλικά) (3rd έκδοση). Springer-Verlag. "E17: Permutation Sequences". ISBN 0-387-20860-7. Zbl 1058.11001. Cf pp. 336–337.
Kurtz, Stuart A.· Simon, Janos (2007). «The Undecidability of the Generalized Collatz Problem». Στο: Cai, J.-Y.· Cooper, S.B.· Zhu, H. Proceedings of the 4th International Conference on Theory and Applications of Models of Computation, TAMC 2007, held in Shanghai, China in May 2007 (στα Αγγλικά). σελίδες 542–553. doi:10.1007/978-3-540-72504-6_49. ISBN 3-540-72503-2.

doi.org

dx.doi.org

Krasikov, Ilia; Lagarias, Jeffrey C. (2003). «Bounds for the 3x + 1 problem using difference inequalities» (στα αγγλικά). Acta Arithmetica 109 (3): 237–258. doi:10.4064/aa109-3-4.
MR 1980260
.
Colussi, Livio (2011-09-09). «The convergence classes of Collatz function» (στα αγγλικά). Theoretical Computer Science 412 (39): 5409–5419. doi:10.1016/j.tcs.2011.05.056.
Hew, Patrick Chisan (2016-03-07). «Working in binary protects the repetends of 1/3h: Comment on Colussi's ‘The convergence classes of Collatz function’» (στα αγγλικά). Theoretical Computer Science 618: 135–141. doi:10.1016/j.tcs.2015.12.033.
Ben-Amram, Amir M. (2015), «Mortality of iterated piecewise affine functions over the integers: Decidability and complexity», Computability 1 (1): 19–56, doi:10.3233/COM-150032

doi.org

Kurtz, Stuart A.· Simon, Janos (2007). «The Undecidability of the Generalized Collatz Problem». Στο: Cai, J.-Y.· Cooper, S.B.· Zhu, H. Proceedings of the 4th International Conference on Theory and Applications of Models of Computation, TAMC 2007, held in Shanghai, China in May 2007 (στα Αγγλικά). σελίδες 542–553. doi:10.1007/978-3-540-72504-6_49. ISBN 3-540-72503-2.

icm.edu.pl

matwbn.icm.edu.pl

Terras, Riho (1976), «A stopping time problem on the positive integers», Polska Akademia Nauk 30 (3): 241–252, http://matwbn.icm.edu.pl/ksiazki/aa/aa30/aa3034.pdf

sfu.ca

cecm.sfu.ca

Lagarias (1985) section "A heuristic argument".

unict.it

dmi.unict.it

Scollo, Giuseppe (2007), «Looking for Class Records in the 3x+1 Problem by means of the COMETA Grid Infrastructure», Grid Open Days at the University of Palermo, http://www.dmi.unict.it/~scollo/seminars/gridpa2007/CR3x+1paper.pdf

vutbr.cz

pcbarina.fit.vutbr.cz

Barina, David. «Convergence verification of the Collatz problem». Ανακτήθηκε στις 27 Ιουλίου 2020.

web.archive.org

Simons, J.; de Weger, B.; "Theoretical and computational bounds for m-cycles of the 3n+1 problem" Αρχειοθετήθηκε 2017-05-17 στο Wayback Machine., Acta Arithmetica (on-line version 1.0, November 18, 2003), 2005.

wolfram.com

mathworld.wolfram.com

«Hailstone Number». MathWorld. Wolfram Research.

xs4all.nl

deweger.xs4all.nl

Simons, J.; de Weger, B.; "Theoretical and computational bounds for m-cycles of the 3n+1 problem" Αρχειοθετήθηκε 2017-05-17 στο Wayback Machine., Acta Arithmetica (on-line version 1.0, November 18, 2003), 2005.

zbmath.org

Guy, Richard K. (2004). Unsolved problems in number theory (στα Αγγλικά) (3rd έκδοση). Springer-Verlag. "E17: Permutation Sequences". ISBN 0-387-20860-7. Zbl 1058.11001. Cf pp. 336–337.
Lagarias, Jeffrey C., επιμ. (2010). The Ultimate Challenge: the 3x+1 problem (στα Αγγλικά). American Mathematical Society. ISBN 978-0-8218-4940-8. Zbl 1253.11003.