The 3x + 1 Conjugacy Map (1996) [1 citations — 0 self]
by Daniel J. Bernstein, Jeffrey C. Lagarias, Z. We
Canadian Journal of Mathematics
http://cr.yp.to/papers/3x1conjmap.ps
Add To MetaCart
Abstract:
Abstract. The 3x+1 map T and the shift map S are dened by T (x) = (3x+1)=2 for x odd, T (x) = x=2 for x even, while S(x) = (x 1)=2 for x odd, S(x) = x=2 for x even. The 3x + 1 conjugacy map on the 2-adic integers Z2 conjugates S to T, i.e., S 1 = T. The map mod 2 n
Citations
| 75 | Endomorphims and automorphisms of the shift dynamical system – Hedlund - 1969 |
| 40 | The 3x + 1 Problem and Its Generalizations – Lagarias - 1985 |
| 7 | On the `3x + 1' problem – Crandall - 1978 |
| 3 | On a conjecture of Crandall concerning the QX + 1 problem, to appear – Franco, Pomerance - 1995 |
| 2 | Automorphisms of one-sided subshifts of type – Boyle, Franks, et al. - 1990 |
| 2 | Eine Bemerkung zum Hasse-Syracuse Algorithmus – Heppner - 1978 |
| 2 | Das `3n + 1' Problem – Muller - 1991 |
| 2 | Uber eine Klasse 2-adischer Funktionen im Zussamenhang mit dem \3x + 1 – Muller - 1994 |
| 1 | Why is the 3x + 1 problem so hard – Akin |
| 1 | A non-iterative 2-adic statement of the 3x+1 conjecture – Bernstein - 1994 |
| 1 | The set of rational cycles for the 3x+1 problem, Acta Arithmetica 56 – Lagarias - 1990 |
| 1 | On the \QX + 1 problem," Q odd, I, II, Fibonacci Quart. 19 – Steiner - 1981 |

