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  The 3x + 1 Conjugacy Map (1996) [1 citations — 0 self]

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by Daniel J. Bernstein, Jeffrey C. Lagarias, Z. We
Canadian Journal of Mathematics
http://cr.yp.to/papers/3x1conjmap.ps
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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