Polynômes à coefficients positifs multiples d'un polynôme donné
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For a given polynômial P with real coefficients, does there exist an other polynômial Q suth that the product PQ has only positive coefficients, and what can be said about the minimal value of the degree of such a polynômial Q? Some general answers are given, and some more precise results are obtained for polynômials P of a particular form: in this case, the estimates of the lowest degree of Q is of interest to study some normal sets, in the uniform distribution theory.
KeywordsActa Arith Positif Multiple Strictement Positif Exemple Simple Sont Donc
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