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A characterization of pisot numbers

Published online by Cambridge University Press:  26 February 2010

Michel Mendes France
Michel Mendes France
Affiliation:
Laboratoire de Mathématique et. d'Informatique dépendant de l'Universitede Bordeaux I associé au C. N. R. S., 351, cours de la Libération, 33405 TALENCE.
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Extract

The object of this paper is to give a new characterization of the set of Pisot-Vijayaraghavan numbers (P.V.-numbers for short). As usual, [x] and [x] represent respectively the integer part and the fractional part of the real number x, and

Type
Research Article
Information
Mathematika , Volume 23 , Issue 1 , June 1976 , pp. 32 - 34
Copyright
Copyright © University College London 1976

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References

1.France, M. Mendes. “Deux remarques concernant l'équirépartition des suites”, Acta Arithmetica, 14 (1968), 163–167.CrossRefGoogle Scholar
2.France, M. Mendes. “Les suites à spectre vide et la répartition (modulo 1)”, J. Number Th., 5 (1973), 1–15.CrossRefGoogle Scholar