Title:
|
A density estimate for the $3x+1$ problem (English) |
Author:
|
Korec, Ivan |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
44 |
Issue:
|
1 |
Year:
|
1994 |
Pages:
|
85-89 |
. |
Category:
|
math |
. |
MSC:
|
11B83 |
idZBL:
|
Zbl 0797.11027 |
idMR:
|
MR1290275 |
. |
Date available:
|
2009-09-25T10:53:56Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133225 |
. |
Reference:
|
[1] ALLOUCHE J.-P.: Sur la conjecture de 'Syracuse-Kakutani-Collatz'.In: Seminar de Théorie des Nombres. Exp. No. 9, CNRS Talence, 1978-1979. MR 0567874 |
Reference:
|
[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. Zbl 0648.10009, MR 0916053 |
Reference:
|
[3] EVERETT C. J.: Iteration of the number theoretic function f(2n)=n, f(2n + 1)= 3n + 2.Adv. Math. 25 (1977), 42-45. Zbl 0352.10001, MR 0457344 |
Reference:
|
[4] HEPPNER E.: Eine Bemerkung zum Hasse-Syracuse-Algorithmus.Arch. Math. (Basel) 31 (1978), 317-320. Zbl 0377.10027, MR 0521487 |
Reference:
|
[5] LAGARIAS J. C.: The 3x + 1 problem and its generalizations.Amer. Math. Monthly 92 (1985), 3-23. Zbl 0566.10007, MR 0777565 |
Reference:
|
[6] TERRAS R.: A stopping time on the positive integers.Acta Arith. XXX (1976), 241-252. MR 0568274 |
Reference:
|
[7] TERRAS R.: On the existence of a density.Acta Arith. XXXV (1979), 101-102. Zbl 0413.10052, MR 0536882 |
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