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ArticleOriginal scientific text

Title

Collatz cycles with few descents

Authors 1

Affiliations

  1. Helblingstr. 21, D-70565 Stuttgart, Germany

Bibliography

  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.
Acta Arithmetica
2000/92/2
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Pages:
181-188
Main language of publication
English
Received
1999-02-12
Accepted
1999-09-15
Published
2000
Exact and natural sciences