Binomial-coefficient multiples of irrationals
نویسندگان
چکیده
منابع مشابه
Binomial-coefficient Multiples of Irrationals
Denote by x a random infinite path in the graph of Pascal’s triangle (left and right turns are selected independently with fixed probabilities) and by dn(x) the binomial coefficient at the n’th level along the path x. Then for a dense Gδ set of θ in the unit interval, {dn(x)θ} is almost surely dense but not uniformly distributed modulo 1.
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Denote by x a random innnite path in the graph of Pascal's triangle (left and right turns are selected independently with xed probabilities) and by d n (x) the binomial coeecient at the n'th level along the path x. Then for a dense G set of in the unit interval, fd n (x)g is almost surely dense but not uniformly distributed modulo 1.
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ژورنال
عنوان ژورنال: Monatshefte f�r Mathematik
سال: 1998
ISSN: 0026-9255,1436-5081
DOI: 10.1007/bf01305342