Author:
Cabrelli Carlos A.,Hare Kathryn E.,Molter Ursula M.
Abstract
AbstractIn this paper we prove that if a Cantor set has ratios of dissection bounded away from zero, then there is a natural number N, such that its N-fold sum is an interval. Moreover, for each element z of this interval, we explicitly construct the N elements of C whose sum yields z. We also extend a result of Mendes and Oliveria showing that when s is irrational is an interval if and only if a /(1−2a) as/(1−2as) ≥ 1.
Publisher
Cambridge University Press (CUP)
Cited by
19 articles.
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