A density estimate for the 3 x + 1 problem

Ivan Korec

Mathematica Slovaca (1994)

  • Volume: 44, Issue: 1, page 85-89
  • ISSN: 0139-9918

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Korec, Ivan. "A density estimate for the $3x+1$ problem." Mathematica Slovaca 44.1 (1994): 85-89. <http://eudml.org/doc/32414>.

@article{Korec1994,
author = {Korec, Ivan},
journal = {Mathematica Slovaca},
keywords = {Collatz function; -problem; asymptotic density},
language = {eng},
number = {1},
pages = {85-89},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {A density estimate for the $3x+1$ problem},
url = {http://eudml.org/doc/32414},
volume = {44},
year = {1994},
}

TY - JOUR
AU - Korec, Ivan
TI - A density estimate for the $3x+1$ problem
JO - Mathematica Slovaca
PY - 1994
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 44
IS - 1
SP - 85
EP - 89
LA - eng
KW - Collatz function; -problem; asymptotic density
UR - http://eudml.org/doc/32414
ER -

References

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  1. ALLOUCHE J.-P., Sur la conjecture de 'Syracuse-Kakutani-Collatz', In: Seminar de Théorie des Nombres. Exp. No. 9, CNRS Talence, 1978-1979. (1978) MR0567874
  2. DOLAN J. M., GILMAN A. F., MANICKAM S., A generalization of Everett's result on the Collatz 3x + 1 problem, Adv. in Appl. Math. 8 (1987), 405-409. (1987) Zbl0648.10009MR0916053
  3. EVERETT C. J., Iteration of the number theoretic function f(2n)=n, f(2n + 1)= 3n + 2, Adv. Math. 25 (1977), 42-45. (1977) Zbl0352.10001MR0457344
  4. HEPPNER E., Eine Bemerkung zum Hasse-Syracuse-Algorithmus, Arch. Math. (Basel) 31 (1978), 317-320. (1978) Zbl0377.10027MR0521487
  5. LAGARIAS J. C., The 3x + 1 problem and its generalizations, Amer. Math. Monthly 92 (1985), 3-23. (1985) Zbl0566.10007MR0777565
  6. TERRAS R., A stopping time on the positive integers, Acta Arith. XXX (1976), 241-252. (1976) MR0568274
  7. TERRAS R., On the existence of a density, Acta Arith. XXXV (1979), 101-102. (1979) Zbl0413.10052MR0536882

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