Authors
Citation
Tm. Adams et Ke. Petersen, BINOMIAL-COEFFICIENT MULTIPLES OF IRRATIONALS, Monatshefte fuer Mathematik, 125(4), 1998, pp. 269-278
Citations number
14
Categorie Soggetti
Mathematics,Mathematics
Journal title
ISSN journal
00269255
Volume
125
Issue
4
Year of publication
1998
Pages
269 - 278
Database
ISI
SICI code
0026-9255(1998)125:4<269:BMOI>2.0.ZU;2-W
Abstract
Denote by x a random infinite path in the graph of Pascal's triangle (
left and right turns are selected independently with fixed probabiliti
es) and by d(n)(x) the binomial coefficient at the n'th level along th
e path x. Then for a dense G(delta) set of theta in the unit interval,
{d(n)(x)theta} is almost surely dense but not uniformly distributed m
odule 1.