The 3x+1 problem: An annotated bibliography (1963--1999)
By Jeffrey C. Lagarias. 2003
150 citations recorded by the source corpus.
The 3x+ 1 problem concerns iteration of the map on the integers given by T(n) = (3n+1)/2 if n is odd; T(n) = n/2 if n is even. The 3x+1 Conjecture asserts that for every positive integer n > 1 the forward orbit of n under iteration by T includes the integer 1. This paper is an annotated bibliography of work done on the 3x+1 problem and related problems from 1963 through 1999. At present the 3x+1 Conjecture remains unsolved.
Subfields: Computational Theory and Mathematics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/5c044fc0b594d025804c8c75df8c7a7ebbdfd94d
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In Computational Theory and Mathematics
In Statistics and Probability
Citations in the corpus
- The 3x+1 Problem: An Annotated Bibliography, II (2000-2009) (2006, background): “Ilia Krasikov and J. C. Lagarias (2003), Bounds for the 3x + 1 problem using difference inequalities, Acta Arithmetica 109 (2003), no. 3, 237–258.”