Collatz cycles with few descents

• Autorzy: T. Brox
• Języki publikacji: EN

Kategorie tematyczne

• 11Z05: Miscellaneous applications of number theory
• 11D61: Exponential equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2000
• Tom: 92
• Numer: 2
• Strony: 181-188

Daty

wydano

2000

otrzymano

1999-02-12

poprawiono

1999-09-15

Twórcy

autor

T. Brox

• Helblingstr. 21, D-70565 Stuttgart, Germany

Bibliografia

• [1] A. Baker, Transcendental Number Theory, Cambridge Univ. Press, 1975.
• [2] E. G. Belaga and M. Mignotte, Embedding the 3x + 1 conjecture in a 3x + d context, Experiment. Math. 7 (1998), 145-152.
• [3] L. Halbeisen and N. Hungerbühler, Optimal bounds for the length of rational Collatz cycles, Acta Arith. 78 (1997), 227-239.
• [4] J. C. Lagarias, The 3x + 1 problem and its generalizations, Amer. Math. Monthly 92 (1985), 3-23.
• [5] J. C. Lagarias, The set of rational cycles for the 3x + 1 problem, Acta Arith. 56 (1990), 33-53.
• [6] R. P. Steiner, A theorem on the Syracuse Problem, in: Proc. 7th Manitoba Conf. on Numerical Mathematics, 1977, Winnipeg, 1978, 553-559.
• [7] G. J. Wirsching, The Dynamical System Generated by the 3n + 1 Function, Lecture Notes in Math. 1681, Springer, Berlin, 1998.