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We first prove two results which both imply that for any sequence B of asymptotic density zero there exists an infinite sequence A such that the sum of any number of distinct
The quotient ring F(X)/I has a fundamental system of zero consisting of cofinite ideals. c) A ring R of finite characteristic has the property that every precompact topology on it
Dekking, What is the long range order in the Kolakoski sequence?, The Mathe- matics of Long-Range Aperiodic Order , NATO Adv. Kolakoski, Problem 5304: Self Generating
In the present work we introduce the notion of analogues of a given linear sub- division in a general setting such that some important examples like log-exponential subdivision in
We give a greedy algorithm for describing an enumeration of the set of all natural numbers such that the sum of the first n terms of the sequence is divisible by n for each
We establish a strong law of large numbers and a central limit theorem for the Parrondo player’s sequence of profits, both in a one-parameter family of capital-dependent games and in
(2004) Infinite volume limit for the stationary distribution of Abelian sandpile models, Commun.. (1963) Eine kombinatorische ¨ Uberlegung und ihre maßtheoretische Er-
We establish some inclusion relations, topological results and we characterize the duals of the Orlicz of χ π sequence spaces.. 2000 Mathematics Subject Classification