Geodesic
Pisot sequences, Pisot numbers and Salem numbers
Journées Arithmétiques de Luminy, Astérisque, no. 61 (1979), pp. 35-42

Voir la notice du chapitre de livre provenant de la source Numdam

Zbl 
Boyd, David W. Pisot sequences, Pisot numbers and Salem numbers, dans Journées Arithmétiques de Luminy, Astérisque, no. 61 (1979), pp. 35-42. http://geodesic.mathdoc.fr/item/AST_1979__61__35_0/
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     series = {Ast\'erisque},
     pages = {35--42},
     year = {1979},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {61},
     zbl = {0402.12001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AST_1979__61__35_0/}
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1. D. W. Boyd, Pisot sequences which satisfy no linear recurrence, Acta Arith. 32 (1977), pp. 89-98 | Zbl | EuDML | DOI

2. D. W. Boyd, Small Salem numbers, Duke Math. Jour. 44 (1977), pp. 315-328 | Zbl | DOI

3. D. W. Boyd, Pisot and Salem numbers in intervais of the real line, Math. of Comp. (to appear in 1978) | Zbl

4. D. W. Boyd, Some integer sequences related to Pisot sequences, Acta Arith. (toappear) | Zbl | EuDML

5. D. G. Cantor, Investigation of T-numbers and E-sequences, in Computers in Number Theory, ed A.O.L. Atkins and B.J. Birch, Academic Press, N.Y.1971 | Zbl

6. D. G. Cantor, On families of Pisot E-sequences, Ann. Sci. Éc. Norm. Sup.4e Série, 9 (1976), pp. 283-308 | DOI | Zbl | EuDML | Numdam

7.D. G. Cantor, On power series with only finitely many coefficients (mod 1) : solutionof a problem of Pisot and Salem, Acta Arith. 34 (1977), pp. 43-55 | Zbl | EuDML | DOI

8.J. Dufresnoy and Ch. Pisot, Étude de certaines fonctions méromorphes bornées sur le cercle unité, application à un ensemble fermé d'entiers algébriques, Ann. Sci. Éc. Norm. Sup.3e Série, 72 (1955), pp. 69-92 | DOI | Zbl | EuDML | Numdam

9.P. Flor, Über eine Klasse von Folgen natürlicher Zahlen, Math. Annalen 140 (1960), pp. 299-307 | Zbl | EuDML | DOI

10.P. Galyean, On linear recurrence relations for E-sequences, Thesis, University of Califomia Los Angeles, 1971

11.G. H. Hardy, A problem of diophantine approximation, Jour. Ind. Math. Soc. 11 (1919), 162-166 ; Collected works I, pp. 124-129

12. D. H. Lehmer, Factorization of certain cyclotomic functions, Ann. Math. 34 (1933), pp. 461-479 | Zbl | DOI

13. Ch. Pisot, La repartition modulo 1 et les nombres algébriques, Ann. Scuola Norm. Sup. Pisa 7 (1938), 205-248 | JFM | EuDML | Numdam

14. R. Salem, A remarkable class of algebraic integers. Proof of a conjecture of Vijayaraghavan, Duke Math. Jour. 11 (1944), pp. 103-107 | Zbl | DOI

15. R. Salem, Power series with integral coefficients, Duke Math. Jour. 12 (1945), pp. 153-171 | Zbl | DOI

16. A. Thue, Über eine Eigenschaft die keine transzendente Grösse haben kann, Skrifter Vidensk. I. Kristiania 2 (1912), No. 20, pp.1-15 | JFM

17. T. Vijayaraghavan, On the fractional parts of the powers of a number (II), Proc. Camb. Phil. Soc. 37 (1941), pp. 349-357 | Zbl | JFM | DOI

18. T. Vijayaraghavan, On the fractional parts of the powers of a number (III), Jour. Lond.Math. Soc. 17 (1942), pp. 137-138 | Zbl | JFM | DOI