Suites de longueur minimale associees a un ensemble normal donne
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For a given subsetA of the set of real numbers, we search a sequence Λ=(λ n) of real numbers such that bothA is the normal setB(Λ) associated to Λ, and Λ takes its values in a bounded interval, with a minimal lengthM. A lower bound ofM is obtained, which gives some necessary conditions of existency of such a bounded sequence Λ. More details are given whenA is a subset of the set of integers. In this case, the problem is to find a polynomialQ of lowest degree such that the productP.Q has non-negative coefficients, for some special given polynomialP.
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- [LIA]P. Liardet et G. Rauzy, Communication personnelle.Google Scholar
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