On the Normality of Arithmetical Constants
| dc.creator | Lagarias, Jeffrey C. | |
| dc.date | 2001-01-08 | |
| dc.date | 2002-08-25 | |
| dc.date.accessioned | 2026-07-07T04:39:33Z | |
| dc.date.available | 2026-07-07T04:39:33Z | |
| dc.description | D. Bailey and R. E. Crandall recently formulated a "Hypothesis A", which provides a general principle to explain the (conjectured) normality of constants like pi or log 2 and other related numbers, to base 2 or other integer bases. This paper explains the basic mechanism behind their principle as a connection between single orbits of two different discrete dynamical systems. It relates a subclass of arithmetical constants they consider to special values of G-functions, and characterizes this subclass. Finally it notes some parallels of "Hypothesis A" with Furstenberg's conjecture on invariant measures. | |
| dc.description | Revised final version, February 2001, 21 pages, latex; small corrections | |
| dc.identifier | https://arxiv.org/abs/math/0101055 | |
| dc.identifier | http://arxiv.org/abs/math/0101055 | |
| dc.identifier | Experimental Mathematics 10, no. 3 (2001), 355--368 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60708 | |
| dc.subject | Number Theory | |
| dc.subject | Dynamical Systems | |
| dc.subject | 11K16 (Primary), 11A63, 28D05, 37E05 (Secondary) | |
| dc.title | On the Normality of Arithmetical Constants | |
| dc.type | text |