Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593672 | Journal of Number Theory | 2015 | 14 Pages |
Abstract
The 3x+13x+1 problem has resisted analysis from multiple perspectives for many decades. This paper studies the more general qx+rqx+r problem, where q and r are odd, and finds new, averaging structures for the iterates. This structure supports the conjecture that all orbits enter a cycle if q=1,3q=1,3 but divergent orbits exist if q≥5q≥5.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Marc Chamberland,