Abstract
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.
Keywords
- Acta Arith
- Positif Multiple
- Strictement Positif
- Exemple Simple
- Sont Donc
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© 1990 Springer-Verlag
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Borel, JP. (1990). Polynômes à coefficients positifs multiples d'un polynôme donné. In: Langevin, M., Waldschmidt, M. (eds) Cinquante Ans de Polynômes Fifty Years of Polynomials. Lecture Notes in Mathematics, vol 1415. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084881
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DOI: https://doi.org/10.1007/BFb0084881
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