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math.CO2013★ 1 cited
On additive properties of sets defined by the Thue-Morse word
Michelangelo Bucci, Neil Hindman, Svetlana Puzynina +1
In this paper we study some additive properties of subsets of the set $\nats$ of positive integers: A subset of $\nats$ is called {\it -summable} (where $k\in\ben$) if c…
math.CO2013
Central sets generated by uniformly recurrent words
Michelangelo Bucci, Svetlana Puzynina, Luca Q. Zamboni
A subset of $\nats$ is called an IP-set if contains all finite sums of distinct terms of some infinite sequence $(x_n)_{n\in \nats} $ of natural numbers. Central sets, firs…